627105008640 has 704 divisors, whose sum is σ = 2339231685120. Its totient is φ = 141699317760.

The previous prime is 627105008599. The next prime is 627105008659. The reversal of 627105008640 is 46800501726.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×627105008640² (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 63 ways as a sum of consecutive naturals, for example, 313081879 + ... + 313083881.

It is an arithmetic number, because the mean of its divisors is an integer number (3322772280).

Almost surely, 2^627105008640 is an apocalyptic number.

627105008640 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 627105008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169615842560).

627105008640 is an abundant number, since it is smaller than the sum of its proper divisors (1712126676480).

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

627105008640 is a wasteful number, since it uses less digits than its factorization.

627105008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 627105008640 in words is "six hundred twenty-seven billion, one hundred five million, eight thousand, six hundred forty".