6779965659264 has 1152 divisors, whose sum is σ = 24654491971200. Its totient is φ = 1813985280000.

The previous prime is 6779965659263. The next prime is 6779965659277. The reversal of 6779965659264 is 4629565699776.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×6779965659264² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (6779965659263) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11281140564 + ... + 11281141164.

It is an arithmetic number, because the mean of its divisors is an integer number (21401468725).

Almost surely, 2^{6779965659264} is an apocalyptic number.

6779965659264 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 6779965659264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12327245985600).

6779965659264 is an abundant number, since it is smaller than the sum of its proper divisors (17874526311936).

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

6779965659264 is an equidigital number, since it uses as much as digits as its factorization.

6779965659264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 733 counting only the distinct ones).

The product of its digits is 9258883200, while the sum is 81.

The spelling of 6779965659264 in words is "six trillion, seven hundred seventy-nine billion, nine hundred sixty-five million, six hundred fifty-nine thousand, two hundred sixty-four".