627005396304 has 720 divisors, whose sum is σ = 2261294642880. Its totient is φ = 161049047040.

The previous prime is 627005396291. The next prime is 627005396333. The reversal of 627005396304 is 403693500726.

627005396304 is a `hidden beast` number, since 6 + 2 + 7 + 0 + 0 + 5 + 3 + 9 + 630 + 4 = 666.

627005396304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 627005396304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 203373547 + ... + 203376629.

It is an arithmetic number, because the mean of its divisors is an integer number (3140687004).

Almost surely, 2^627005396304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 627005396304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130647321440).

627005396304 is an abundant number, since it is smaller than the sum of its proper divisors (1634289246576).

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

627005396304 is a wasteful number, since it uses less digits than its factorization.

627005396304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3208 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 627005396304 in words is "six hundred twenty-seven billion, five million, three hundred ninety-six thousand, three hundred four".