725726794816 has 21 divisors (see below), whose sum is σ = 1440127632439. Its totient is φ = 362859989824.

The previous prime is 725726794799. The next prime is 725726794817. The reversal of 725726794816 is 618497627527.

The square root of 725726794816 is 851896.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (725726794817) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6761925 + ... + 6868411.

Almost surely, 2^725726794816 is an apocalyptic number.

725726794816 is the 851896-th square number.

It is an amenable number.

725726794816 is a deficient number, since it is larger than the sum of its proper divisors (714400837623).

725726794816 is an frugal number, since it uses more digits than its factorization.

725726794816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212986 (or 106489 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 64.

Multiplying 725726794816 by its sum of digits (64), we get a square (46446514868224 = 6815168²).

725726794816 divided by its sum of digits (64) gives a square (11339481169 = 106487²).

The spelling of 725726794816 in words is "seven hundred twenty-five billion, seven hundred twenty-six million, seven hundred ninety-four thousand, eight hundred sixteen".