6383827632 has 480 divisors, whose sum is σ = 22060254720. Its totient is φ = 1552711680.

The previous prime is 6383827621. The next prime is 6383827643. The reversal of 6383827632 is 2367283836.

It is an interprime number because it is at equal distance from previous prime (6383827621) and next prime (6383827643).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65812608 + ... + 65812704.

It is an arithmetic number, because the mean of its divisors is an integer number (45958864).

Almost surely, 2^6383827632 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 6383827632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11030127360).

6383827632 is an abundant number, since it is smaller than the sum of its proper divisors (15676427088).

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

6383827632 is a wasteful number, since it uses less digits than its factorization.

6383827632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 202 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 6383827632 is about 79898.8587653165. The cubic root of 6383827632 is about 1855.0703501096.

The spelling of 6383827632 in words is "six billion, three hundred eighty-three million, eight hundred twenty-seven thousand, six hundred thirty-two".