75376373796864 has 832 divisors, whose sum is σ = 284447297433600. Its totient is φ = 19202409234432.

The previous prime is 75376373796863. The next prime is 75376373796961. The reversal of 75376373796864 is 46869737367357.

75376373796864 is a `hidden beast` number, since 7 + 53 + 76 + 373 + 79 + 6 + 8 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (75376373796863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249897789 + ... + 250199235.

Almost surely, 2^{75376373796864} 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 75376373796864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142223648716800).

75376373796864 is an abundant number, since it is smaller than the sum of its proper divisors (209070923636736).

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

75376373796864 is a wasteful number, since it uses less digits than its factorization.

75376373796864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301523 (or 301495 counting only the distinct ones).

The product of its digits is 20163790080, while the sum is 81.

The spelling of 75376373796864 in words is "seventy-five trillion, three hundred seventy-six billion, three hundred seventy-three million, seven hundred ninety-six thousand, eight hundred sixty-four".