6811084611264 has 448 divisors, whose sum is σ = 18976641223680. Its totient is φ = 2154037248000.

The previous prime is 6811084611257. The next prime is 6811084611277. The reversal of 6811084611264 is 4621164801186.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26502274624 + ... + 26502274880.

It is an arithmetic number, because the mean of its divisors is an integer number (42358574160).

Almost surely, 2^{6811084611264} is an apocalyptic number.

6811084611264 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 6811084611264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9488320611840).

6811084611264 is an abundant number, since it is smaller than the sum of its proper divisors (12165556612416).

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

6811084611264 is a wasteful number, since it uses less digits than its factorization.

6811084611264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 6811084611264 in words is "six trillion, eight hundred eleven billion, eighty-four million, six hundred eleven thousand, two hundred sixty-four".