74171580672 has 432 divisors, whose sum is σ = 236930668800. Its totient is φ = 20530298880.

The previous prime is 74171580667. The next prime is 74171580697. The reversal of 74171580672 is 27608517147.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181348404 + ... + 181348812.

Almost surely, 2^74171580672 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 74171580672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118465334400).

74171580672 is an abundant number, since it is smaller than the sum of its proper divisors (162759088128).

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

74171580672 is a wasteful number, since it uses less digits than its factorization.

74171580672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 48.

The spelling of 74171580672 in words is "seventy-four billion, one hundred seventy-one million, five hundred eighty thousand, six hundred seventy-two".