627640107494400 has 12672 divisors, whose sum is σ = 3408650932377600. Its totient is φ = 113304954470400.

The previous prime is 627640107494377. The next prime is 627640107494471. The reversal of 627640107494400 is 4494701046726.

It is a happy number.

627640107494400 is a `hidden beast` number, since 6 + 2 + 7 + 6 + 4 + 0 + 107 + 494 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (12672).

It is a super-3 number, since 3×627640107494400³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 36920006323192 + ... + 36920006323208.

Almost surely, 2^{627640107494400} is an apocalyptic number.

627640107494400 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 627640107494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704325466188800).

627640107494400 is an abundant number, since it is smaller than the sum of its proper divisors (2781010824883200).

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

627640107494400 is a wasteful number, since it uses less digits than its factorization.

627640107494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 627640107494400 in words is "six hundred twenty-seven trillion, six hundred forty billion, one hundred seven million, four hundred ninety-four thousand, four hundred".