74856203136 has 640 divisors, whose sum is σ = 270897026400. Its totient is φ = 20205158400.

The previous prime is 74856203089. The next prime is 74856203153. The reversal of 74856203136 is 63130265847.

74856203136 is a `hidden beast` number, since 7 + 4 + 8 + 5 + 620 + 3 + 13 + 6 = 666.

It is a super-2 number, since 2×74856203136² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 74856203091 and 74856203100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42995226 + ... + 42996966.

Almost surely, 2^74856203136 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 74856203136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135448513200).

74856203136 is an abundant number, since it is smaller than the sum of its proper divisors (196040823264).

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

74856203136 is a wasteful number, since it uses less digits than its factorization.

74856203136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 74856203136 in words is "seventy-four billion, eight hundred fifty-six million, two hundred three thousand, one hundred thirty-six".