6794961264 has 320 divisors, whose sum is σ = 24211783680. Its totient is φ = 1776660480.

The previous prime is 6794961263. The next prime is 6794961281. The reversal of 6794961264 is 4621694976.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6794961264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6794961263) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4991944 + ... + 4993304.

It is an arithmetic number, because the mean of its divisors is an integer number (75661824).

Almost surely, 2^6794961264 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 6794961264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12105891840).

6794961264 is an abundant number, since it is smaller than the sum of its proper divisors (17416822416).

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

6794961264 is a wasteful number, since it uses less digits than its factorization.

6794961264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1513 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 6794961264 is about 82431.5550259729. Note that the first 3 decimals coincide. The cubic root of 6794961264 is about 1894.0684141778.

The spelling of 6794961264 in words is "six billion, seven hundred ninety-four million, nine hundred sixty-one thousand, two hundred sixty-four".