6397395984 has 320 divisors, whose sum is σ = 21649408000. Its totient is φ = 1771061760.

The previous prime is 6397395937. The next prime is 6397395989. The reversal of 6397395984 is 4895937936.

6397395984 is a `hidden beast` number, since 6 + 3 + 9 + 7 + 39 + 598 + 4 = 666.

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 not an unprimeable number, because it can be changed into a prime (6397395989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14572437 + ... + 14572875.

It is an arithmetic number, because the mean of its divisors is an integer number (67654400).

Almost surely, 2^6397395984 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 6397395984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10824704000).

6397395984 is an abundant number, since it is smaller than the sum of its proper divisors (15252012016).

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

6397395984 is a wasteful number, since it uses less digits than its factorization.

6397395984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 591 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The square root of 6397395984 is about 79983.7232441701. The cubic root of 6397395984 is about 1856.3836915443.

The spelling of 6397395984 in words is "six billion, three hundred ninety-seven million, three hundred ninety-five thousand, nine hundred eighty-four".