625769393616640 has 1152 divisors, whose sum is σ = 1920923859456000. Its totient is φ = 194011324416000.

The previous prime is 625769393616629. The next prime is 625769393616641. The reversal of 625769393616640 is 46616393967526.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625769393616641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 277996175515 + ... + 277996177765.

It is an arithmetic number, because the mean of its divisors is an integer number (1667468628000).

Almost surely, 2^{625769393616640} 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 625769393616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960461929728000).

625769393616640 is an abundant number, since it is smaller than the sum of its proper divisors (1295154465839360).

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

625769393616640 is a wasteful number, since it uses less digits than its factorization.

625769393616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 1587237120, while the sum is 73.

The spelling of 625769393616640 in words is "six hundred twenty-five trillion, seven hundred sixty-nine billion, three hundred ninety-three million, six hundred sixteen thousand, six hundred forty".