725792506884 has 72 divisors (see below), whose sum is σ = 1863116924760. Its totient is φ = 238187837952.

The previous prime is 725792506871. The next prime is 725792506889. The reversal of 725792506884 is 488605297527.

725792506884 is a `hidden beast` number, since 7 + 2 + 579 + 2 + 50 + 6 + 8 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 166097002500 + 559695504384 = 407550^2 + 748128^2 .

It is a super-2 number, since 2×725792506884² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (725792506889) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1215882 + ... + 1711710.

It is an arithmetic number, because the mean of its divisors is an integer number (25876623955).

Almost surely, 2^725792506884 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 725792506884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931558462380).

725792506884 is an abundant number, since it is smaller than the sum of its proper divisors (1137324417876).

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

725792506884 is a wasteful number, since it uses less digits than its factorization.

725792506884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496469 (or 496464 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 725792506884 in words is "seven hundred twenty-five billion, seven hundred ninety-two million, five hundred six thousand, eight hundred eighty-four".