73159430400 has 1215 divisors, whose sum is σ = 318980538149. Its totient is φ = 15995105280.

The previous prime is 73159430371. The next prime is 73159430483. The reversal of 73159430400 is 403495137.

73159430400 = 1³ + 2³ + ... + 735³.

The square root of 73159430400 is 270480.

It is a perfect power (a square), and thus also a powerful number.

73159430400 is a `hidden beast` number, since 7 + 31 + 594 + 30 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26337394944 + 46822035456 = 162288^2 + 216384^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3180844789 + ... + 3180844811.

Almost surely, 2^73159430400 is an apocalyptic number.

73159430400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

73159430400 is the 270480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73159430400

73159430400 is an abundant number, since it is smaller than the sum of its proper divisors (245821107749).

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

73159430400 is an equidigital number, since it uses as much as digits as its factorization.

73159430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Multiplying 73159430400 by its sum of digits (36), we get a square (2633739494400 = 1622880²).

73159430400 divided by its sum of digits (36) gives a square (2032206400 = 45080²).

The spelling of 73159430400 in words is "seventy-three billion, one hundred fifty-nine million, four hundred thirty thousand, four hundred".