725625046440 has 512 divisors, whose sum is σ = 2840160153600. Its totient is φ = 161336448000.

The previous prime is 725625046439. The next prime is 725625046481. The reversal of 725625046440 is 44640526527.

725625046440 is a `hidden beast` number, since 7 + 2 + 562 + 5 + 0 + 46 + 4 + 40 = 666.

725625046440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81590634 + ... + 81599526.

It is an arithmetic number, because the mean of its divisors is an integer number (5547187800).

Almost surely, 2^725625046440 is an apocalyptic number.

725625046440 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 725625046440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420080076800).

725625046440 is an abundant number, since it is smaller than the sum of its proper divisors (2114535107160).

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

725625046440 is a wasteful number, since it uses less digits than its factorization.

725625046440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9214 (or 9204 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

It can be divided in two parts, 7256250 and 46440, that multiplied together give a square (336980250000 = 580500²).

The spelling of 725625046440 in words is "seven hundred twenty-five billion, six hundred twenty-five million, forty-six thousand, four hundred forty".