75656918064 has 480 divisors, whose sum is σ = 266109634560. Its totient is φ = 18289152000.

The previous prime is 75656918041. The next prime is 75656918131. The reversal of 75656918064 is 46081965657.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 75656917995 and 75656918013.

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, 18007164 + ... + 18011364.

It is an arithmetic number, because the mean of its divisors is an integer number (554395072).

Almost surely, 2^75656918064 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 75656918064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133054817280).

75656918064 is an abundant number, since it is smaller than the sum of its proper divisors (190452716496).

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

75656918064 is a wasteful number, since it uses less digits than its factorization.

75656918064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4289 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 75656918064 in words is "seventy-five billion, six hundred fifty-six million, nine hundred eighteen thousand, sixty-four".