731872866960 has 640 divisors, whose sum is σ = 2654915788800. Its totient is φ = 185086218240.

The previous prime is 731872866953. The next prime is 731872866973. The reversal of 731872866960 is 69668278137.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 756848397 + ... + 756849363.

It is an arithmetic number, because the mean of its divisors is an integer number (4148305920).

Almost surely, 2^731872866960 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 731872866960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327457894400).

731872866960 is an abundant number, since it is smaller than the sum of its proper divisors (1923042921840).

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

731872866960 is a wasteful number, since it uses less digits than its factorization.

731872866960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 731872866960 in words is "seven hundred thirty-one billion, eight hundred seventy-two million, eight hundred sixty-six thousand, nine hundred sixty".