725773366031616 has 756 divisors, whose sum is σ = 2608205611261824. Its totient is φ = 200674585036800.

The previous prime is 725773366031563. The next prime is 725773366031633. The reversal of 725773366031616 is 616130663377527.

725773366031616 is a `hidden beast` number, since 7 + 2 + 5 + 7 + 7 + 3 + 3 + 6 + 6 + 0 + 3 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 282201751 + ... + 284761961.

It is an arithmetic number, because the mean of its divisors is an integer number (3450007422304).

Almost surely, 2^{725773366031616} 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 725773366031616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304102805630912).

725773366031616 is an abundant number, since it is smaller than the sum of its proper divisors (1882432245230208).

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

725773366031616 is an equidigital number, since it uses as much as digits as its factorization.

725773366031616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560290 (or 2560254 counting only the distinct ones).

The product of its (nonzero) digits is 120022560, while the sum is 63.

The spelling of 725773366031616 in words is "seven hundred twenty-five trillion, seven hundred seventy-three billion, three hundred sixty-six million, thirty-one thousand, six hundred sixteen".