74940120320 has 288 divisors, whose sum is σ = 202166889120. Its totient is φ = 26424115200.

The previous prime is 74940120319. The next prime is 74940120337. The reversal of 74940120320 is 2302104947.

It can be written as a sum of positive squares in 16 ways, for example, as 6739753216 + 68200367104 = 82096^2 + 261152^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 46807520 + ... + 46809120.

It is an arithmetic number, because the mean of its divisors is an integer number (701968365).

Almost surely, 2^74940120320 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 74940120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101083444560).

74940120320 is an abundant number, since it is smaller than the sum of its proper divisors (127226768800).

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

74940120320 is a wasteful number, since it uses less digits than its factorization.

74940120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 74940120320 in words is "seventy-four billion, nine hundred forty million, one hundred twenty thousand, three hundred twenty".