74586646728 has 144 divisors (see below), whose sum is σ = 222300400140. Its totient is φ = 22575421440.

The previous prime is 74586646679. The next prime is 74586646733. The reversal of 74586646728 is 82764668547.

74586646728 is a `hidden beast` number, since 7 + 4 + 586 + 6 + 46 + 7 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49558773924 + 25027872804 = 222618^2 + 158202^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8158576 + ... + 8167712.

Almost surely, 2^74586646728 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 74586646728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111150200070).

74586646728 is an abundant number, since it is smaller than the sum of its proper divisors (147713753412).

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

74586646728 is a wasteful number, since it uses less digits than its factorization.

74586646728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10108 (or 10090 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 74586646728 in words is "seventy-four billion, five hundred eighty-six million, six hundred forty-six thousand, seven hundred twenty-eight".