6795246919680 has 1680 divisors, whose sum is σ = 27313039028880. Its totient is φ = 1611380293632.

The previous prime is 6795246919607. The next prime is 6795246919753. The reversal of 6795246919680 is 869196425976.

6795246919680 is a `hidden beast` number, since 6 + 7 + 9 + 524 + 6 + 9 + 1 + 96 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6795246919607) and next prime (6795246919753).

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 = 6795246919599 and 6795246919608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18217819974 + ... + 18217820346.

Almost surely, 2^{6795246919680} is an apocalyptic number.

6795246919680 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 6795246919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13656519514440).

6795246919680 is an abundant number, since it is smaller than the sum of its proper divisors (20517792109200).

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

6795246919680 is a wasteful number, since it uses less digits than its factorization.

6795246919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 6795246919680 in words is "six trillion, seven hundred ninety-five billion, two hundred forty-six million, nine hundred nineteen thousand, six hundred eighty".