6777466720 has 96 divisors (see below), whose sum is σ = 16210067328. Its totient is φ = 2677628928.

The previous prime is 6777466699. The next prime is 6777466867. The reversal of 6777466720 is 276647776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5106697 + ... + 5108023.

It is an arithmetic number, because the mean of its divisors is an integer number (168854868).

Almost surely, 2^6777466720 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 6777466720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8105033664).

6777466720 is an abundant number, since it is smaller than the sum of its proper divisors (9432600608).

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

6777466720 is a wasteful number, since it uses less digits than its factorization.

6777466720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 52.

The square root of 6777466720 is about 82325.3710589876. The cubic root of 6777466720 is about 1892.4415056373.

The spelling of 6777466720 in words is "six billion, seven hundred seventy-seven million, four hundred sixty-six thousand, seven hundred twenty".