75648621304656 has 60 divisors (see below), whose sum is σ = 211884180607008. Its totient is φ = 25195588721472.

The previous prime is 75648621304603. The next prime is 75648621304681. The reversal of 75648621304656 is 65640312684657.

75648621304656 is a `hidden beast` number, since 7 + 5 + 64 + 86 + 2 + 1 + 30 + 465 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 75648621304593 and 75648621304602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214598070 + ... + 214950293.

Almost surely, 2^{75648621304656} is an apocalyptic number.

It is an amenable number.

75648621304656 is an abundant number, since it is smaller than the sum of its proper divisors (136235559302352).

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

75648621304656 is a wasteful number, since it uses less digits than its factorization.

75648621304656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429549600 (or 429549591 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 75648621304656 in words is "seventy-five trillion, six hundred forty-eight billion, six hundred twenty-one million, three hundred four thousand, six hundred fifty-six".