625728775680 has 640 divisors, whose sum is σ = 2361423144960. Its totient is φ = 156509798400.

The previous prime is 625728775537. The next prime is 625728775691. The reversal of 625728775680 is 86577827526.

625728775680 is a `hidden beast` number, since 6 + 2 + 572 + 8 + 7 + 7 + 56 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 431238955 + ... + 431240405.

It is an arithmetic number, because the mean of its divisors is an integer number (3689723664).

Almost surely, 2^625728775680 is an apocalyptic number.

625728775680 is a gapful number since it is divisible by the number (60) 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 625728775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180711572480).

625728775680 is an abundant number, since it is smaller than the sum of its proper divisors (1735694369280).

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

625728775680 is a wasteful number, since it uses less digits than its factorization.

625728775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 625728775680 in words is "six hundred twenty-five billion, seven hundred twenty-eight million, seven hundred seventy-five thousand, six hundred eighty".