75164113920 has 352 divisors, whose sum is σ = 278260992000. Its totient is φ = 16960978944.

The previous prime is 75164113909. The next prime is 75164113933. The reversal of 75164113920 is 2931146157.

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, 8489656 + ... + 8498504.

Almost surely, 2^75164113920 is an apocalyptic number.

75164113920 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 75164113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139130496000).

75164113920 is an abundant number, since it is smaller than the sum of its proper divisors (203096878080).

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

75164113920 is a wasteful number, since it uses less digits than its factorization.

75164113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8963 (or 8945 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 75164113920 in words is "seventy-five billion, one hundred sixty-four million, one hundred thirteen thousand, nine hundred twenty".