9504657676800 has 3360 divisors, whose sum is σ = 44023905414720. Its totient is φ = 1997026099200.

The previous prime is 9504657676769. The next prime is 9504657676837. The reversal of 9504657676800 is 86767564059.

9504657676800 is a `hidden beast` number, since 9 + 50 + 4 + 6 + 576 + 7 + 6 + 8 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 22684146991 + ... + 22684147409.

It is an arithmetic number, because the mean of its divisors is an integer number (13102352802).

Almost surely, 2^{9504657676800} is an apocalyptic number.

9504657676800 is a gapful number since it is divisible by the number (90) 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 9504657676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22011952707360).

9504657676800 is an abundant number, since it is smaller than the sum of its proper divisors (34519247737920).

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

9504657676800 is a wasteful number, since it uses less digits than its factorization.

9504657676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 9504657676800 in words is "nine trillion, five hundred four billion, six hundred fifty-seven million, six hundred seventy-six thousand, eight hundred".