75857068320 has 576 divisors, whose sum is σ = 281904416640. Its totient is φ = 17079828480.

The previous prime is 75857068307. The next prime is 75857068349. The reversal of 75857068320 is 2386075857.

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, 58485912 + ... + 58487208.

It is an arithmetic number, because the mean of its divisors is an integer number (489417390).

Almost surely, 2^75857068320 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 75857068320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140952208320).

75857068320 is an abundant number, since it is smaller than the sum of its proper divisors (206047348320).

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

75857068320 is a wasteful number, since it uses less digits than its factorization.

75857068320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 75857068320 in words is "seventy-five billion, eight hundred fifty-seven million, sixty-eight thousand, three hundred twenty".