74180918160 has 120 divisors (see below), whose sum is σ = 255857429880. Its totient is φ = 19246934016.

The previous prime is 74180918143. The next prime is 74180918173. The reversal of 74180918160 is 6181908147.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3109623696 + 71071294464 = 55764^2 + 266592^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1365645 + ... + 1418924.

It is an arithmetic number, because the mean of its divisors is an integer number (2132145249).

Almost surely, 2^74180918160 is an apocalyptic number.

It is an amenable number.

74180918160 is an abundant number, since it is smaller than the sum of its proper divisors (181676511720).

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

74180918160 is a wasteful number, since it uses less digits than its factorization.

74180918160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784625 (or 2784616 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 74180918160 in words is "seventy-four billion, one hundred eighty million, nine hundred eighteen thousand, one hundred sixty".