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4627808640 = 27365713109
BaseRepresentation
bin1000100111101011…
…01100000110000000
3102221112001001000000
410103311230012000
533434204334030
62043114000000
7222452503320
oct42365540600
912845031000
104627808640
111a65306144
12a91a16000
13589a05a10
1431c899280
151c1437860
hex113d6c180

4627808640 has 896 divisors, whose sum is σ = 20602612800. Its totient is φ = 967458816.

The previous prime is 4627808617. The next prime is 4627808641. The reversal of 4627808640 is 468087264.

4627808640 is a `hidden beast` number, since 462 + 78 + 0 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×46278086402 = 42833225616917299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4627808641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 42456906 + ... + 42457014.

Almost surely, 24627808640 is an apocalyptic number.

4627808640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4627808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10301306400).

4627808640 is an abundant number, since it is smaller than the sum of its proper divisors (15974804160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4627808640 is a wasteful number, since it uses less digits than its factorization.

4627808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4627808640 is about 68027.9989416123. The cubic root of 4627808640 is about 1666.4481192546.

The spelling of 4627808640 in words is "four billion, six hundred twenty-seven million, eight hundred eight thousand, six hundred forty".