75570829680 has 160 divisors (see below), whose sum is σ = 238802572800. Its totient is φ = 19763905536.

The previous prime is 75570829661. The next prime is 75570829717. The reversal of 75570829680 is 8692807557.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 75570829680.

It is a congruent number.

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, 6210162 + ... + 6222318.

It is an arithmetic number, because the mean of its divisors is an integer number (1492516080).

Almost surely, 2^75570829680 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 75570829680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119401286400).

75570829680 is an abundant number, since it is smaller than the sum of its proper divisors (163231743120).

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

75570829680 is a wasteful number, since it uses less digits than its factorization.

75570829680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12671 (or 12665 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 57.

The spelling of 75570829680 in words is "seventy-five billion, five hundred seventy million, eight hundred twenty-nine thousand, six hundred eighty".