6379132032 has 288 divisors, whose sum is σ = 22998846780. Its totient is φ = 1682214912.

The previous prime is 6379132021. The next prime is 6379132061. The reversal of 6379132032 is 2302319736.

6379132032 is a `hidden beast` number, since 637 + 9 + 13 + 2 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5050092096 + 1329039936 = 71064^2 + 36456^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 729478 + ... + 738170.

Almost surely, 2^6379132032 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 6379132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11499423390).

6379132032 is an abundant number, since it is smaller than the sum of its proper divisors (16619714748).

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

6379132032 is a wasteful number, since it uses less digits than its factorization.

6379132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8740 (or 8718 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 6379132032 is about 79869.4687098894. The cubic root of 6379132032 is about 1854.6154085807.

The spelling of 6379132032 in words is "six billion, three hundred seventy-nine million, one hundred thirty-two thousand, thirty-two".