6384440832 has 320 divisors, whose sum is σ = 22136868864. Its totient is φ = 1585520640.

The previous prime is 6384440779. The next prime is 6384440837. The reversal of 6384440832 is 2380444836.

It is a super-2 number, since 2×6384440832² = 81522169474617704448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6384440837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2719083 + ... + 2721429.

Almost surely, 2^6384440832 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 6384440832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11068434432).

6384440832 is an abundant number, since it is smaller than the sum of its proper divisors (15752428032).

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

6384440832 is a wasteful number, since it uses less digits than its factorization.

6384440832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The square root of 6384440832 is about 79902.6960246023. The cubic root of 6384440832 is about 1855.1297446079.

The spelling of 6384440832 in words is "six billion, three hundred eighty-four million, four hundred forty thousand, eight hundred thirty-two".