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4674896640 = 283351773109
BaseRepresentation
bin1000101101010010…
…10100001100000000
3110001210122100121000
410112221110030000
534033233143030
62051515132000
7223563652161
oct42651241400
913053570530
104674896640
111a89948047
12aa5744000
135966b183b
14324c35768
151c5639860
hex116a54300

4674896640 has 576 divisors, whose sum is σ = 17969212800. Its totient is φ = 1146617856.

The previous prime is 4674896617. The next prime is 4674896651. The reversal of 4674896640 is 466984764.

4674896640 is a `hidden beast` number, since 4 + 67 + 489 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42888906 + ... + 42889014.

It is an arithmetic number, because the mean of its divisors is an integer number (31196550).

Almost surely, 24674896640 is an apocalyptic number.

4674896640 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 4674896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8984606400).

4674896640 is an abundant number, since it is smaller than the sum of its proper divisors (13294316160).

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

4674896640 is a wasteful number, since it uses less digits than its factorization.

4674896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The square root of 4674896640 is about 68373.2158085313. The cubic root of 4674896640 is about 1672.0810992156.

The spelling of 4674896640 in words is "four billion, six hundred seventy-four million, eight hundred ninety-six thousand, six hundred forty".