74891289600 has 396 divisors, whose sum is σ = 273250157076. Its totient is φ = 19591004160.

The previous prime is 74891289587. The next prime is 74891289619. The reversal of 74891289600 is 698219847.

74891289600 is a `hidden beast` number, since 7 + 4 + 8 + 9 + 1 + 28 + 9 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5549654016 + 69341635584 = 74496^2 + 263328^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12208134 + ... + 12214266.

Almost surely, 2^74891289600 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 74891289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136625078538).

74891289600 is an abundant number, since it is smaller than the sum of its proper divisors (198358867476).

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

74891289600 is a wasteful number, since it uses less digits than its factorization.

74891289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6222 (or 6196 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 74891289600 in words is "seventy-four billion, eight hundred ninety-one million, two hundred eighty-nine thousand, six hundred".