725519634840 has 1152 divisors, whose sum is σ = 3250436454720. Its totient is φ = 139102064640.

The previous prime is 725519634839. The next prime is 725519634883. The reversal of 725519634840 is 48436915527.

It is a happy number.

725519634840 is a `hidden beast` number, since 7 + 2 + 551 + 9 + 6 + 3 + 4 + 84 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 305223732 + ... + 305226108.

It is a 1-persistent number, because it is pandigital, but 2⋅725519634840 = 1451039269680 is not.

Almost surely, 2^725519634840 is an apocalyptic number.

725519634840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725519634840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625218227360).

725519634840 is an abundant number, since it is smaller than the sum of its proper divisors (2524916819880).

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

725519634840 is a wasteful number, since it uses less digits than its factorization.

725519634840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 725519634840 in words is "seven hundred twenty-five billion, five hundred nineteen million, six hundred thirty-four thousand, eight hundred forty".