625628867760 has 480 divisors, whose sum is σ = 2387670929280. Its totient is φ = 145645682688.

The previous prime is 625628867723. The next prime is 625628867777. The reversal of 625628867760 is 67768826526.

625628867760 is a `hidden beast` number, since 6 + 2 + 562 + 8 + 8 + 6 + 7 + 7 + 60 = 666.

It is a super-2 number, since 2×625628867760² (a number of 24 digits) contains 22 as substring.

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, 19143594 + ... + 19176246.

It is an arithmetic number, because the mean of its divisors is an integer number (4974314436).

Almost surely, 2^625628867760 is an apocalyptic number.

625628867760 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 625628867760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193835464640).

625628867760 is an abundant number, since it is smaller than the sum of its proper divisors (1762042061520).

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

625628867760 is a wasteful number, since it uses less digits than its factorization.

625628867760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32797 (or 32788 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 625628867760 in words is "six hundred twenty-five billion, six hundred twenty-eight million, eight hundred sixty-seven thousand, seven hundred sixty".