627630064 has 80 divisors (see below), whose sum is σ = 1306166400. Its totient is φ = 291610368.

The previous prime is 627630053. The next prime is 627630077. The reversal of 627630064 is 460036726.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1655827 + ... + 1656205.

It is an arithmetic number, because the mean of its divisors is an integer number (16327080).

Almost surely, 2^627630064 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 627630064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653083200).

627630064 is an abundant number, since it is smaller than the sum of its proper divisors (678536336).

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

627630064 is a wasteful number, since it uses less digits than its factorization.

627630064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 627630064 is about 25052.5460582353. The cubic root of 627630064 is about 856.1855873261.

The spelling of 627630064 in words is "six hundred twenty-seven million, six hundred thirty thousand, sixty-four".