627734016 has 320 divisors, whose sum is σ = 2291520000. Its totient is φ = 165224448.

The previous prime is 627733991. The next prime is 627734057. The reversal of 627734016 is 610437726.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257735 + ... + 1258233.

It is an arithmetic number, because the mean of its divisors is an integer number (7161000).

Almost surely, 2^627734016 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 627734016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145760000).

627734016 is an abundant number, since it is smaller than the sum of its proper divisors (1663785984).

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

627734016 is a wasteful number, since it uses less digits than its factorization.

627734016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 627734016 is about 25054.6206516882. The cubic root of 627734016 is about 856.2328536464.

The spelling of 627734016 in words is "six hundred twenty-seven million, seven hundred thirty-four thousand, sixteen".