75661639860 has 192 divisors, whose sum is σ = 226855157760. Its totient is φ = 18808796160.

The previous prime is 75661639841. The next prime is 75661639877. The reversal of 75661639860 is 6893616657.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 75661639860.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5832061 + ... + 5845019.

It is an arithmetic number, because the mean of its divisors is an integer number (1181537280).

Almost surely, 2^75661639860 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 75661639860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113427578880).

75661639860 is an abundant number, since it is smaller than the sum of its proper divisors (151193517900).

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

75661639860 is a wasteful number, since it uses less digits than its factorization.

75661639860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13118 (or 13116 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 75661639860 in words is "seventy-five billion, six hundred sixty-one million, six hundred thirty-nine thousand, eight hundred sixty".