625968425631744 has 1536 divisors, whose sum is σ = 2103122427194880. Its totient is φ = 177993028730880.

The previous prime is 625968425631727. The next prime is 625968425631763. The reversal of 625968425631744 is 447136524869526.

625968425631744 is a `hidden beast` number, since 6 + 2 + 5 + 9 + 6 + 8 + 4 + 2 + 563 + 17 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 6077363355597 + ... + 6077363355699.

It is an arithmetic number, because the mean of its divisors is an integer number (1369220330205).

Almost surely, 2^{625968425631744} is an apocalyptic number.

625968425631744 is a gapful number since it is divisible by the number (64) 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 625968425631744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051561213597440).

625968425631744 is an abundant number, since it is smaller than the sum of its proper divisors (1477154001563136).

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

625968425631744 is an equidigital number, since it uses as much as digits as its factorization.

625968425631744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 185 counting only the distinct ones).

The product of its digits is 2090188800, while the sum is 72.

The spelling of 625968425631744 in words is "six hundred twenty-five trillion, nine hundred sixty-eight billion, four hundred twenty-five million, six hundred thirty-one thousand, seven hundred forty-four".