74182100790 has 128 divisors (see below), whose sum is σ = 216835522560. Its totient is φ = 15873568128.

The previous prime is 74182100777. The next prime is 74182100807. The reversal of 74182100790 is 9700128147.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63621 + ... + 390399.

It is an arithmetic number, because the mean of its divisors is an integer number (1694027520).

Almost surely, 2^74182100790 is an apocalyptic number.

74182100790 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 74182100790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108417761280).

74182100790 is an abundant number, since it is smaller than the sum of its proper divisors (142653421770).

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

74182100790 is a wasteful number, since it uses less digits than its factorization.

74182100790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326866.

The product of its (nonzero) digits is 28224, while the sum is 39.

The spelling of 74182100790 in words is "seventy-four billion, one hundred eighty-two million, one hundred thousand, seven hundred ninety".