74438083872 has 576 divisors, whose sum is σ = 247269335040. Its totient is φ = 21084364800.

The previous prime is 74438083871. The next prime is 74438083873. The reversal of 74438083872 is 27838083447.

It is an interprime number because it is at equal distance from previous prime (74438083871) and next prime (74438083873).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (74438083871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 239350597 + ... + 239350907.

It is an arithmetic number, because the mean of its divisors is an integer number (429287040).

Almost surely, 2^74438083872 is an apocalyptic number.

74438083872 is a gapful number since it is divisible by the number (72) 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 74438083872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123634667520).

74438083872 is an abundant number, since it is smaller than the sum of its proper divisors (172831251168).

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

74438083872 is a wasteful number, since it uses less digits than its factorization.

74438083872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 74438083872 in words is "seventy-four billion, four hundred thirty-eight million, eighty-three thousand, eight hundred seventy-two".