74488879872 has 432 divisors, whose sum is σ = 251185753728. Its totient is φ = 20978565120.

The previous prime is 74488879831. The next prime is 74488879877. The reversal of 74488879872 is 27897888447.

74488879872 is a `hidden beast` number, since 7 + 4 + 488 + 8 + 79 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 74488879872.

It is not an unprimeable number, because it can be changed into a prime (74488879877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35759343 + ... + 35761425.

It is an arithmetic number, because the mean of its divisors is an integer number (581448504).

Almost surely, 2^74488879872 is an apocalyptic number.

74488879872 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 74488879872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125592876864).

74488879872 is an abundant number, since it is smaller than the sum of its proper divisors (176696873856).

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

74488879872 is a wasteful number, since it uses less digits than its factorization.

74488879872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2199 counting only the distinct ones).

The product of its digits is 404619264, while the sum is 72.

The spelling of 74488879872 in words is "seventy-four billion, four hundred eighty-eight million, eight hundred seventy-nine thousand, eight hundred seventy-two".