6463400832 has 160 divisors (see below), whose sum is σ = 21983076720. Its totient is φ = 1846665216.

The previous prime is 6463400819. The next prime is 6463400863. The reversal of 6463400832 is 2380043646.

It is a happy number.

6463400832 is a `hidden beast` number, since 646 + 3 + 4 + 0 + 0 + 8 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28048 + ... + 117104.

Almost surely, 2^6463400832 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 6463400832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10991538360).

6463400832 is an abundant number, since it is smaller than the sum of its proper divisors (15519675888).

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

6463400832 is an equidigital number, since it uses as much as digits as its factorization.

6463400832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89090 (or 89069 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6463400832 is about 80395.2786673446. The cubic root of 6463400832 is about 1862.7462450091.

The spelling of 6463400832 in words is "six billion, four hundred sixty-three million, four hundred thousand, eight hundred thirty-two".