74877530112 has 624 divisors, whose sum is σ = 279929325312. Its totient is φ = 19428802560.

The previous prime is 74877530099. The next prime is 74877530131. The reversal of 74877530112 is 21103577847.

74877530112 is a `hidden beast` number, since 7 + 48 + 77 + 530 + 1 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76639768 + ... + 76640744.

It is an arithmetic number, because the mean of its divisors is an integer number (448604688).

Almost surely, 2^74877530112 is an apocalyptic number.

74877530112 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 74877530112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139964662656).

74877530112 is an abundant number, since it is smaller than the sum of its proper divisors (205051795200).

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

74877530112 is an equidigital number, since it uses as much as digits as its factorization.

74877530112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 74877530112 in words is "seventy-four billion, eight hundred seventy-seven million, five hundred thirty thousand, one hundred twelve".