6749294791680 has 264 divisors, whose sum is σ = 26727007780512. Its totient is φ = 1542695878656.

The previous prime is 6749294791573. The next prime is 6749294791691. The reversal of 6749294791680 is 861974929476.

6749294791680 is a `hidden beast` number, since 6 + 7 + 4 + 92 + 9 + 479 + 1 + 68 + 0 = 666.

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 = 6749294791599 and 6749294791608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10139517 + ... + 10784636.

Almost surely, 2^{6749294791680} is an apocalyptic number.

6749294791680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6749294791680 is an abundant number, since it is smaller than the sum of its proper divisors (19977712988832).

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

6749294791680 is a wasteful number, since it uses less digits than its factorization.

6749294791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20924191 (or 20924170 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 6749294791680 in words is "six trillion, seven hundred forty-nine billion, two hundred ninety-four million, seven hundred ninety-one thousand, six hundred eighty".