6397896960 has 864 divisors, whose sum is σ = 28927342080. Its totient is φ = 1266941952.

The previous prime is 6397896937. The next prime is 6397897001. The reversal of 6397896960 is 696987936.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17821261 + ... + 17821619.

It is an arithmetic number, because the mean of its divisors is an integer number (33480720).

Almost surely, 2^6397896960 is an apocalyptic number.

6397896960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6397896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463671040).

6397896960 is an abundant number, since it is smaller than the sum of its proper divisors (22529445120).

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

6397896960 is a wasteful number, since it uses less digits than its factorization.

6397896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The square root of 6397896960 is about 79986.8549200430. The cubic root of 6397896960 is about 1856.4321476872.

The spelling of 6397896960 in words is "six billion, three hundred ninety-seven million, eight hundred ninety-six thousand, nine hundred sixty".