725576967360 has 672 divisors, whose sum is σ = 3178960611840. Its totient is φ = 147873890304.

The previous prime is 725576967307. The next prime is 725576967389. The reversal of 725576967360 is 63769675527.

725576967360 is a `hidden beast` number, since 7 + 2 + 557 + 6 + 9 + 6 + 73 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6455967 + ... + 6567393.

Almost surely, 2^725576967360 is an apocalyptic number.

725576967360 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 725576967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589480305920).

725576967360 is an abundant number, since it is smaller than the sum of its proper divisors (2453383644480).

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

725576967360 is a wasteful number, since it uses less digits than its factorization.

725576967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111493 (or 111480 counting only the distinct ones).

The product of its (nonzero) digits is 100018800, while the sum is 63.

The spelling of 725576967360 in words is "seven hundred twenty-five billion, five hundred seventy-six million, nine hundred sixty-seven thousand, three hundred sixty".