74864688 has 80 divisors (see below), whose sum is σ = 200508000. Its totient is φ = 24053760.

The previous prime is 74864683. The next prime is 74864711. The reversal of 74864688 is 88646847.

Its product of digits (2064384) is a multiple of the sum of its prime divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 74864688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74864681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 214338 + ... + 214686.

It is an arithmetic number, because the mean of its divisors is an integer number (2506350).

Almost surely, 2^74864688 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 74864688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100254000).

74864688 is an abundant number, since it is smaller than the sum of its proper divisors (125643312).

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

74864688 is a wasteful number, since it uses less digits than its factorization.

74864688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 504 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The square root of 74864688 is about 8652.4382690661. The cubic root of 74864688 is about 421.4625653978.

The spelling of 74864688 in words is "seventy-four million, eight hundred sixty-four thousand, six hundred eighty-eight".