73926744320 has 576 divisors, whose sum is σ = 226844755200. Its totient is φ = 22666936320.

The previous prime is 73926744293. The next prime is 73926744379. The reversal of 73926744320 is 2344762937.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100854674 + ... + 100855406.

It is an arithmetic number, because the mean of its divisors is an integer number (393827700).

Almost surely, 2^73926744320 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 73926744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113422377600).

73926744320 is an abundant number, since it is smaller than the sum of its proper divisors (152918010880).

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

73926744320 is a wasteful number, since it uses less digits than its factorization.

73926744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 47.

The spelling of 73926744320 in words is "seventy-three billion, nine hundred twenty-six million, seven hundred forty-four thousand, three hundred twenty".