725653676160 has 768 divisors, whose sum is σ = 2987746594560. Its totient is φ = 164862148608.

The previous prime is 725653676149. The next prime is 725653676183. The reversal of 725653676160 is 61676356527.

725653676160 is a `hidden beast` number, since 7 + 2 + 565 + 3 + 6 + 76 + 1 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 725653676097 and 725653676106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188332794 + ... + 188336646.

It is an arithmetic number, because the mean of its divisors is an integer number (3890295045).

Almost surely, 2^725653676160 is an apocalyptic number.

725653676160 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 725653676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493873297280).

725653676160 is an abundant number, since it is smaller than the sum of its proper divisors (2262092918400).

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

725653676160 is a wasteful number, since it uses less digits than its factorization.

725653676160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4067 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 725653676160 in words is "seven hundred twenty-five billion, six hundred fifty-three million, six hundred seventy-six thousand, one hundred sixty".