6795919802880 has 480 divisors, whose sum is σ = 26285453498304. Its totient is φ = 1672839806976.

The previous prime is 6795919802849. The next prime is 6795919802909. The reversal of 6795919802880 is 882089195976.

6795919802880 is a `hidden beast` number, since 6 + 7 + 9 + 591 + 9 + 8 + 0 + 28 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6795919802799 and 6795919802808.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7666867 + ... + 8507213.

Almost surely, 2^{6795919802880} is an apocalyptic number.

6795919802880 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 6795919802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13142726749152).

6795919802880 is an abundant number, since it is smaller than the sum of its proper divisors (19489533695424).

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

6795919802880 is an equidigital number, since it uses as much as digits as its factorization.

6795919802880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840398 (or 840370 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 72.

The spelling of 6795919802880 in words is "six trillion, seven hundred ninety-five billion, nine hundred nineteen million, eight hundred two thousand, eight hundred eighty".