6398881632 has 384 divisors, whose sum is σ = 22282283520. Its totient is φ = 1760901120.

The previous prime is 6398881591. The next prime is 6398881661. The reversal of 6398881632 is 2361888936.

It is a happy number.

It is a super-2 number, since 2×6398881632² = 81891372280693966848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8277598 + ... + 8278370.

It is an arithmetic number, because the mean of its divisors is an integer number (58026780).

Almost surely, 2^6398881632 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 6398881632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11141141760).

6398881632 is an abundant number, since it is smaller than the sum of its proper divisors (15883401888).

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

6398881632 is a wasteful number, since it uses less digits than its factorization.

6398881632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 869 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 6398881632 is about 79993.0098946152. The cubic root of 6398881632 is about 1856.5273812197.

The spelling of 6398881632 in words is "six billion, three hundred ninety-eight million, eight hundred eighty-one thousand, six hundred thirty-two".