6627377664 has 160 divisors (see below), whose sum is σ = 19764360000. Its totient is φ = 2192596992.

The previous prime is 6627377641. The next prime is 6627377671. The reversal of 6627377664 is 4667737266.

It is a happy number.

6627377664 is a `hidden beast` number, since 6 + 627 + 3 + 7 + 7 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6627377664.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1919812 + ... + 1923260.

It is an arithmetic number, because the mean of its divisors is an integer number (123527250).

Almost surely, 2^6627377664 is an apocalyptic number.

6627377664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6627377664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9882180000).

6627377664 is an abundant number, since it is smaller than the sum of its proper divisors (13136982336).

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

6627377664 is a wasteful number, since it uses less digits than its factorization.

6627377664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3593 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 54.

The square root of 6627377664 is about 81408.7075440951. The cubic root of 6627377664 is about 1878.3675341465.

The spelling of 6627377664 in words is "six billion, six hundred twenty-seven million, three hundred seventy-seven thousand, six hundred sixty-four".