8876604758400 has 768 divisors, whose sum is σ = 33285205324800. Its totient is φ = 2309000601600.

The previous prime is 8876604758389. The next prime is 8876604758449. The reversal of 8876604758400 is 48574066788.

8876604758400 is a `hidden beast` number, since 8 + 8 + 7 + 6 + 6 + 0 + 47 + 584 + 0 + 0 = 666.

It is a super-2 number, since 2×8876604758400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4744309465 + ... + 4744311335.

It is an arithmetic number, because the mean of its divisors is an integer number (43340111100).

Almost surely, 2^{8876604758400} is an apocalyptic number.

8876604758400 is a gapful number since it is divisible by the number (80) 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 8876604758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642602662400).

8876604758400 is an abundant number, since it is smaller than the sum of its proper divisors (24408600566400).

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

8876604758400 is a wasteful number, since it uses less digits than its factorization.

8876604758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 8876604758400 in words is "eight trillion, eight hundred seventy-six billion, six hundred four million, seven hundred fifty-eight thousand, four hundred".