725693774568 has 192 divisors, whose sum is σ = 2133964103040. Its totient is φ = 205042392576.

The previous prime is 725693774521. The next prime is 725693774573. The reversal of 725693774568 is 865477396527.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38679846 + ... + 38698602.

It is an arithmetic number, because the mean of its divisors is an integer number (11114396370).

Almost surely, 2^725693774568 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 725693774568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066982051520).

725693774568 is an abundant number, since it is smaller than the sum of its proper divisors (1408270328472).

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

725693774568 is a wasteful number, since it uses less digits than its factorization.

725693774568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19144 (or 19133 counting only the distinct ones).

The product of its digits is 533433600, while the sum is 69.

The spelling of 725693774568 in words is "seven hundred twenty-five billion, six hundred ninety-three million, seven hundred seventy-four thousand, five hundred sixty-eight".