6397776672 has 288 divisors, whose sum is σ = 20760606720. Its totient is φ = 1685214720.

The previous prime is 6397776667. The next prime is 6397776703. The reversal of 6397776672 is 2766777936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23607897 + ... + 23608167.

It is an arithmetic number, because the mean of its divisors is an integer number (72085440).

Almost surely, 2^6397776672 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 6397776672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10380303360).

6397776672 is an abundant number, since it is smaller than the sum of its proper divisors (14362830048).

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

6397776672 is a wasteful number, since it uses less digits than its factorization.

6397776672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 345 counting only the distinct ones).

The product of its digits is 28005264, while the sum is 60.

The square root of 6397776672 is about 79986.1029929575. The cubic root of 6397776672 is about 1856.4205132438.

The spelling of 6397776672 in words is "six billion, three hundred ninety-seven million, seven hundred seventy-six thousand, six hundred seventy-two".