6775985664 has 400 divisors, whose sum is σ = 24491209248. Its totient is φ = 1820786688.

The previous prime is 6775985659. The next prime is 6775985677. The reversal of 6775985664 is 4665895776.

6775985664 is a `hidden beast` number, since 67 + 7 + 5 + 9 + 8 + 566 + 4 = 666.

It is a super-3 number, since 3×6775985664³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4934482 + ... + 4935854.

Almost surely, 2^6775985664 is an apocalyptic number.

6775985664 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 6775985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12245604624).

6775985664 is an abundant number, since it is smaller than the sum of its proper divisors (17715223584).

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

6775985664 is a wasteful number, since it uses less digits than its factorization.

6775985664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1402 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The square root of 6775985664 is about 82316.3754304087. The cubic root of 6775985664 is about 1892.3036460628.

The spelling of 6775985664 in words is "six billion, seven hundred seventy-five million, nine hundred eighty-five thousand, six hundred sixty-four".