74830658112 has 448 divisors, whose sum is σ = 258080256000. Its totient is φ = 21252672000.

The previous prime is 74830658093. The next prime is 74830658113. The reversal of 74830658112 is 21185603847.

74830658112 is a `hidden beast` number, since 7 + 483 + 0 + 6 + 58 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (74830658113) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 148768453 + ... + 148768955.

It is an arithmetic number, because the mean of its divisors is an integer number (576072000).

Almost surely, 2^74830658112 is an apocalyptic number.

74830658112 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 74830658112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129040128000).

74830658112 is an abundant number, since it is smaller than the sum of its proper divisors (183249597888).

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

74830658112 is a wasteful number, since it uses less digits than its factorization.

74830658112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 74830658112 in words is "seventy-four billion, eight hundred thirty million, six hundred fifty-eight thousand, one hundred twelve".