725460053760 has 1296 divisors, whose sum is σ = 2902550755104. Its totient is φ = 173282623488.

The previous prime is 725460053749. The next prime is 725460053783. The reversal of 725460053760 is 67350064527.

725460053760 is a `hidden beast` number, since 7 + 2 + 5 + 4 + 600 + 5 + 37 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1944932934 + ... + 1944933306.

Almost surely, 2^725460053760 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 725460053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451275377552).

725460053760 is an abundant number, since it is smaller than the sum of its proper divisors (2177090701344).

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

725460053760 is a wasteful number, since it uses less digits than its factorization.

725460053760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 725460053760 in words is "seven hundred twenty-five billion, four hundred sixty million, fifty-three thousand, seven hundred sixty".