75970374480 has 960 divisors, whose sum is σ = 357529116672. Its totient is φ = 13935144960.

The previous prime is 75970374461. The next prime is 75970374527. The reversal of 75970374480 is 8447307957.

75970374480 is a `hidden beast` number, since 7 + 5 + 97 + 0 + 3 + 74 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16574269 + ... + 16578851.

Almost surely, 2^75970374480 is an apocalyptic number.

75970374480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75970374480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178764558336).

75970374480 is an abundant number, since it is smaller than the sum of its proper divisors (281558742192).

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

75970374480 is a wasteful number, since it uses less digits than its factorization.

75970374480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4656 (or 4647 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 75970374480 in words is "seventy-five billion, nine hundred seventy million, three hundred seventy-four thousand, four hundred eighty".