6786951172056 has 512 divisors, whose sum is σ = 22421532672000. Its totient is φ = 1879294348800.

The previous prime is 6786951171997. The next prime is 6786951172091. The reversal of 6786951172056 is 6502711596876.

6786951172056 is a `hidden beast` number, since 6 + 7 + 8 + 69 + 511 + 7 + 2 + 0 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6786951171984 and 6786951172002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 429627550 + ... + 429643346.

It is an arithmetic number, because the mean of its divisors is an integer number (43792056000).

Almost surely, 2^{6786951172056} is an apocalyptic number.

6786951172056 is a gapful number since it is divisible by the number (66) 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 6786951172056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11210766336000).

6786951172056 is an abundant number, since it is smaller than the sum of its proper divisors (15634581499944).

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

6786951172056 is a wasteful number, since it uses less digits than its factorization.

6786951172056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16180 (or 16170 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 6786951172056 in words is "six trillion, seven hundred eighty-six billion, nine hundred fifty-one million, one hundred seventy-two thousand, fifty-six".