6769564678656 has 1600 divisors, whose sum is σ = 24355741132800. Its totient is φ = 1851716173824.

The previous prime is 6769564678589. The next prime is 6769564678661. The reversal of 6769564678656 is 6568764659676.

6769564678656 is a `hidden beast` number, since 6 + 7 + 6 + 95 + 6 + 467 + 8 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13900543245 + ... + 13900543731.

It is an arithmetic number, because the mean of its divisors is an integer number (15222338208).

Almost surely, 2^{6769564678656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6769564678656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12177870566400).

6769564678656 is an abundant number, since it is smaller than the sum of its proper divisors (17586176454144).

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

6769564678656 is a wasteful number, since it uses less digits than its factorization.

6769564678656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 606 counting only the distinct ones).

The product of its digits is 16460236800, while the sum is 81.

The spelling of 6769564678656 in words is "six trillion, seven hundred sixty-nine billion, five hundred sixty-four million, six hundred seventy-eight thousand, six hundred fifty-six".