725765806080 has 2688 divisors, whose sum is σ = 3403066867200. Its totient is φ = 144473849856.

The previous prime is 725765806057. The next prime is 725765806121. The reversal of 725765806080 is 80608567527.

725765806080 is a `hidden beast` number, since 7 + 2 + 57 + 6 + 580 + 6 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 16878274539 + ... + 16878274581.

It is an arithmetic number, because the mean of its divisors is an integer number (1266021900).

Almost surely, 2^725765806080 is an apocalyptic number.

725765806080 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 725765806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701533433600).

725765806080 is an abundant number, since it is smaller than the sum of its proper divisors (2677301061120).

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

725765806080 is a wasteful number, since it uses less digits than its factorization.

725765806080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 725765806080 in words is "seven hundred twenty-five billion, seven hundred sixty-five million, eight hundred six thousand, eighty".