4680297576864 has 576 divisors, whose sum is σ = 16965423820800. Its totient is φ = 1190427549696.

The previous prime is 4680297576863. The next prime is 4680297576883. The reversal of 4680297576864 is 4686757920864.

4680297576864 is a `hidden beast` number, since 46 + 8 + 0 + 2 + 9 + 7 + 576 + 8 + 6 + 4 = 666.

It is a super-3 number, since 3×4680297576864³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4680297576792 and 4680297576801.

It is not an unprimeable number, because it can be changed into a prime (4680297576863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 769909377 + ... + 769915455.

It is an arithmetic number, because the mean of its divisors is an integer number (29453860800).

Almost surely, 2^{4680297576864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4680297576864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8482711910400).

4680297576864 is an abundant number, since it is smaller than the sum of its proper divisors (12285126243936).

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

4680297576864 is a wasteful number, since it uses less digits than its factorization.

4680297576864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7157 (or 7146 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 4680297576864 in words is "four trillion, six hundred eighty billion, two hundred ninety-seven million, five hundred seventy-six thousand, eight hundred sixty-four".