74053972160 has 224 divisors, whose sum is σ = 212240286720. Its totient is φ = 24061390848.

The previous prime is 74053972151. The next prime is 74053972273. The reversal of 74053972160 is 6127935047.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×74053972160³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5609087 + ... + 5622273.

It is an arithmetic number, because the mean of its divisors is an integer number (947501280).

Almost surely, 2^74053972160 is an apocalyptic number.

74053972160 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 74053972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106120143360).

74053972160 is an abundant number, since it is smaller than the sum of its proper divisors (138186314560).

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

74053972160 is a wasteful number, since it uses less digits than its factorization.

74053972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13343 (or 13333 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 44.

The spelling of 74053972160 in words is "seventy-four billion, fifty-three million, nine hundred seventy-two thousand, one hundred sixty".