6795384960 has 1024 divisors, whose sum is σ = 29611008000. Its totient is φ = 1284636672.

The previous prime is 6795384943. The next prime is 6795385001. The reversal of 6795384960 is 694835976.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 6795384960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76352596 + ... + 76352684.

It is an arithmetic number, because the mean of its divisors is an integer number (28917000).

Almost surely, 2^6795384960 is an apocalyptic number.

6795384960 is a gapful number since it is divisible by the number (60) 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 6795384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805504000).

6795384960 is an abundant number, since it is smaller than the sum of its proper divisors (22815623040).

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

6795384960 is a wasteful number, since it uses less digits than its factorization.

6795384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The square root of 6795384960 is about 82434.1249726107. The cubic root of 6795384960 is about 1894.1077812176.

The spelling of 6795384960 in words is "six billion, seven hundred ninety-five million, three hundred eighty-four thousand, nine hundred sixty".