6777038664 has 288 divisors, whose sum is σ = 21401976960. Its totient is φ = 2006674560.

The previous prime is 6777038657. The next prime is 6777038683. The reversal of 6777038664 is 4668307776.

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 6777038664.

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 71 ways as a sum of consecutive naturals, for example, 11055222 + ... + 11055834.

It is an arithmetic number, because the mean of its divisors is an integer number (74312420).

Almost surely, 2^6777038664 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 6777038664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10700988480).

6777038664 is an abundant number, since it is smaller than the sum of its proper divisors (14624938296).

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

6777038664 is a wasteful number, since it uses less digits than its factorization.

6777038664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The square root of 6777038664 is about 82322.7712361531. The cubic root of 6777038664 is about 1892.4016634155.

The spelling of 6777038664 in words is "six billion, seven hundred seventy-seven million, thirty-eight thousand, six hundred sixty-four".