6627956736 has 384 divisors, whose sum is σ = 20379340800. Its totient is φ = 1903165440.

The previous prime is 6627956723. The next prime is 6627956743. The reversal of 6627956736 is 6376597266.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74471380 + ... + 74471468.

It is an arithmetic number, because the mean of its divisors is an integer number (53071200).

Almost surely, 2^6627956736 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 6627956736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10189670400).

6627956736 is an abundant number, since it is smaller than the sum of its proper divisors (13751384064).

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

6627956736 is a wasteful number, since it uses less digits than its factorization.

6627956736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 165 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 57.

The square root of 6627956736 is about 81412.2640392711. The cubic root of 6627956736 is about 1878.4222404683.

The spelling of 6627956736 in words is "six billion, six hundred twenty-seven million, nine hundred fifty-six thousand, seven hundred thirty-six".