725302774944 has 288 divisors, whose sum is σ = 2323169372160. Its totient is φ = 212734771200.

The previous prime is 725302774927. The next prime is 725302775017. The reversal of 725302774944 is 449477203527.

725302774944 is a `hidden beast` number, since 7 + 2 + 530 + 27 + 7 + 49 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 16473792 + ... + 16517760.

It is an arithmetic number, because the mean of its divisors is an integer number (8066560320).

Almost surely, 2^725302774944 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 725302774944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161584686080).

725302774944 is an abundant number, since it is smaller than the sum of its proper divisors (1597866597216).

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

725302774944 is a wasteful number, since it uses less digits than its factorization.

725302774944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44164 (or 44153 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 725302774944 in words is "seven hundred twenty-five billion, three hundred two million, seven hundred seventy-four thousand, nine hundred forty-four".