75641369500032 has 768 divisors, whose sum is σ = 259315097760000. Its totient is φ = 19395214884864.

The previous prime is 75641369499961. The next prime is 75641369500057. The reversal of 75641369500032 is 23000596314657.

It is a happy number.

It is a congruent number.

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, 549414819 + ... + 549552477.

It is an arithmetic number, because the mean of its divisors is an integer number (337649866875).

Almost surely, 2^{75641369500032} 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 75641369500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129657548880000).

75641369500032 is an abundant number, since it is smaller than the sum of its proper divisors (183673728259968).

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

75641369500032 is a wasteful number, since it uses less digits than its factorization.

75641369500032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137791 (or 137772 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 51.

The spelling of 75641369500032 in words is "seventy-five trillion, six hundred forty-one billion, three hundred sixty-nine million, five hundred thousand, thirty-two".