625731890761344 has 64 divisors (see below), whose sum is σ = 1734365566808640. Its totient is φ = 199508718790656.

The previous prime is 625731890761261. The next prime is 625731890761403. The reversal of 625731890761344 is 443167098137526.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35424124477 + ... + 35424142140.

It is an arithmetic number, because the mean of its divisors is an integer number (27099461981385).

It is a 1-persistent number, because it is pandigital, but 2⋅625731890761344 = 1251463781522688 is not.

Almost surely, 2^{625731890761344} is an apocalyptic number.

625731890761344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

625731890761344 is an abundant number, since it is smaller than the sum of its proper divisors (1108633676047296).

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

625731890761344 is a wasteful number, since it uses less digits than its factorization.

625731890761344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70848266657 (or 70848266645 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 66.

The spelling of 625731890761344 in words is "six hundred twenty-five trillion, seven hundred thirty-one billion, eight hundred ninety million, seven hundred sixty-one thousand, three hundred forty-four".