725383766016 has 1120 divisors, whose sum is σ = 2741532792768. Its totient is φ = 186006896640.

The previous prime is 725383766011. The next prime is 725383766017. The reversal of 725383766016 is 610667383527.

725383766016 is a `hidden beast` number, since 7 + 2 + 538 + 37 + 6 + 60 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725383766011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2475712366 + ... + 2475712658.

Almost surely, 2^725383766016 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 725383766016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370766396384).

725383766016 is an abundant number, since it is smaller than the sum of its proper divisors (2016149026752).

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

725383766016 is a wasteful number, since it uses less digits than its factorization.

725383766016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 725383766016 in words is "seven hundred twenty-five billion, three hundred eighty-three million, seven hundred sixty-six thousand, sixteen".