628425768960 has 960 divisors, whose sum is σ = 2545697064960. Its totient is φ = 145592156160.

The previous prime is 628425768947. The next prime is 628425768967. The reversal of 628425768960 is 69867524826.

628425768960 is a `hidden beast` number, since 6 + 2 + 8 + 425 + 76 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (628425768967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559594959 + ... + 559596081.

It is an arithmetic number, because the mean of its divisors is an integer number (2651767776).

Almost surely, 2^628425768960 is an apocalyptic number.

628425768960 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 628425768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272848532480).

628425768960 is an abundant number, since it is smaller than the sum of its proper divisors (1917271296000).

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

628425768960 is a wasteful number, since it uses less digits than its factorization.

628425768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 628425768960 in words is "six hundred twenty-eight billion, four hundred twenty-five million, seven hundred sixty-eight thousand, nine hundred sixty".