721590315264 has 1152 divisors, whose sum is σ = 2830648934400. Its totient is φ = 176053616640.

The previous prime is 721590315221. The next prime is 721590315269. The reversal of 721590315264 is 462513095127.

721590315264 is a `hidden beast` number, since 7 + 2 + 1 + 5 + 90 + 31 + 526 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×721590315264² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (721590315269) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 448470492 + ... + 448472100.

Almost surely, 2^721590315264 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 721590315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415324467200).

721590315264 is an abundant number, since it is smaller than the sum of its proper divisors (2109058619136).

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

721590315264 is a wasteful number, since it uses less digits than its factorization.

721590315264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 721590315264 in words is "seven hundred twenty-one billion, five hundred ninety million, three hundred fifteen thousand, two hundred sixty-four".