6397564032 has 448 divisors, whose sum is σ = 20970516600. Its totient is φ = 1934917632.

The previous prime is 6397564031. The next prime is 6397564067. The reversal of 6397564032 is 2304657936.

6397564032 is a `hidden beast` number, since 639 + 7 + 5 + 6 + 4 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6352727616 + 44836416 = 79704^2 + 6696^2 .

It is not an unprimeable number, because it can be changed into a prime (6397564031) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 58693194 + ... + 58693302.

Almost surely, 2^6397564032 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 6397564032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10485258300).

6397564032 is an abundant number, since it is smaller than the sum of its proper divisors (14572952568).

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

6397564032 is a wasteful number, since it uses less digits than its factorization.

6397564032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 6397564032 is about 79984.7737510084. The cubic root of 6397564032 is about 1856.3999460139.

The spelling of 6397564032 in words is "six billion, three hundred ninety-seven million, five hundred sixty-four thousand, thirty-two".