627406382760864 has 48 divisors (see below), whose sum is σ = 1882219148284608. Its totient is φ = 179258966502912.

The previous prime is 627406382760673. The next prime is 627406382760877. The reversal of 627406382760864 is 468067283604726.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466820224597 + ... + 466820225940.

It is an arithmetic number, because the mean of its divisors is an integer number (39212898922596).

Almost surely, 2^{627406382760864} is an apocalyptic number.

It is an amenable number.

627406382760864 is an abundant number, since it is smaller than the sum of its proper divisors (1254812765523744).

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

627406382760864 is a wasteful number, since it uses less digits than its factorization.

627406382760864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933640450557 (or 933640450549 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 69.

The spelling of 627406382760864 in words is "six hundred twenty-seven trillion, four hundred six billion, three hundred eighty-two million, seven hundred sixty thousand, eight hundred sixty-four".