6779977261056 has 672 divisors, whose sum is σ = 21012201450240. Its totient is φ = 2183160397824.

The previous prime is 6779977261051. The next prime is 6779977261163. The reversal of 6779977261056 is 6501627799776.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6779977261051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8816615040 + ... + 8816615808.

It is an arithmetic number, because the mean of its divisors is an integer number (31268156920).

Almost surely, 2^{6779977261056} 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 6779977261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10506100725120).

6779977261056 is an abundant number, since it is smaller than the sum of its proper divisors (14232224189184).

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

6779977261056 is an equidigital number, since it uses as much as digits as its factorization.

6779977261056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 420078960, while the sum is 72.

The spelling of 6779977261056 in words is "six trillion, seven hundred seventy-nine billion, nine hundred seventy-seven million, two hundred sixty-one thousand, fifty-six".