75970331136 has 320 divisors, whose sum is σ = 272126511360. Its totient is φ = 20428554240.

The previous prime is 75970331093. The next prime is 75970331161. The reversal of 75970331136 is 63113307957.

It is a junction number, because it is equal to n+sod(n) for n = 75970331091 and 75970331100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1621966 + ... + 1668146.

It is an arithmetic number, because the mean of its divisors is an integer number (850395348).

Almost surely, 2^75970331136 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 75970331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136063255680).

75970331136 is an abundant number, since it is smaller than the sum of its proper divisors (196156180224).

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

75970331136 is a wasteful number, since it uses less digits than its factorization.

75970331136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46232 (or 46210 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 45.

The spelling of 75970331136 in words is "seventy-five billion, nine hundred seventy million, three hundred thirty-one thousand, one hundred thirty-six".