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4678566480 = 24355734381
BaseRepresentation
bin1000101101101110…
…10100001001010000
3110002001112210200000
410112313110021100
534040203111410
62052125530000
7223640105340
oct42667241120
913061483600
104678566480
111a90a24275
12aa6a13900
13597398043
1432550cd20
151c5b11dc0
hex116dd4250

4678566480 has 240 divisors, whose sum is σ = 18622391424. Its totient is φ = 1069355520.

The previous prime is 4678566427. The next prime is 4678566509. The reversal of 4678566480 is 846658764.

4678566480 is a `hidden beast` number, since 4 + 6 + 78 + 566 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118890 + ... + 153270.

Almost surely, 24678566480 is an apocalyptic number.

4678566480 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 4678566480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9311195712).

4678566480 is an abundant number, since it is smaller than the sum of its proper divisors (13943824944).

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

4678566480 is a wasteful number, since it uses less digits than its factorization.

4678566480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34416 (or 34398 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The square root of 4678566480 is about 68400.0473684047. The cubic root of 4678566480 is about 1672.5185181645.

The spelling of 4678566480 in words is "four billion, six hundred seventy-eight million, five hundred sixty-six thousand, four hundred eighty".