6796637527680 has 3840 divisors, whose sum is σ = 33643897056000. Its totient is φ = 1303650754560.

The previous prime is 6796637527643. The next prime is 6796637527717. The reversal of 6796637527680 is 867257366976.

6796637527680 is a `hidden beast` number, since 6 + 7 + 9 + 6 + 6 + 37 + 527 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6796637527643) and next prime (6796637527717).

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 = 6796637527599 and 6796637527608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 522818271354 + ... + 522818271366.

It is an arithmetic number, because the mean of its divisors is an integer number (8761431525).

Almost surely, 2^{6796637527680} is an apocalyptic number.

6796637527680 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 6796637527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16821948528000).

6796637527680 is an abundant number, since it is smaller than the sum of its proper divisors (26847259528320).

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

6796637527680 is an frugal number, since it uses more digits than its factorization.

6796637527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 960180480, while the sum is 72.

The spelling of 6796637527680 in words is "six trillion, seven hundred ninety-six billion, six hundred thirty-seven million, five hundred twenty-seven thousand, six hundred eighty".