6774782976 has 440 divisors, whose sum is σ = 22359200864. Its totient is φ = 2030469120.

The previous prime is 6774782957. The next prime is 6774782981. The reversal of 6774782976 is 6792874776.

6774782976 is a `hidden beast` number, since 6 + 77 + 478 + 2 + 97 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65774541 + ... + 65774643.

Almost surely, 2^6774782976 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 6774782976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11179600432).

6774782976 is an abundant number, since it is smaller than the sum of its proper divisors (15584417888).

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

6774782976 is a wasteful number, since it uses less digits than its factorization.

6774782976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 182 counting only the distinct ones).

The product of its digits is 49787136, while the sum is 63.

The square root of 6774782976 is about 82309.0698283002. The cubic root of 6774782976 is about 1892.1916827430.

The spelling of 6774782976 in words is "six billion, seven hundred seventy-four million, seven hundred eighty-two thousand, nine hundred seventy-six".