6440972384 has 288 divisors, whose sum is σ = 16961011200. Its totient is φ = 2377589760.

The previous prime is 6440972341. The next prime is 6440972387. The reversal of 6440972384 is 4832790446.

It is a happy number.

It is a super-2 number, since 2×6440972384² = 82972250502901286912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6440972387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39515087 + ... + 39515249.

It is an arithmetic number, because the mean of its divisors is an integer number (58892400).

Almost surely, 2^6440972384 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 6440972384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8480505600).

6440972384 is an abundant number, since it is smaller than the sum of its proper divisors (10520038816).

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

6440972384 is a wasteful number, since it uses less digits than its factorization.

6440972384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 47.

The square root of 6440972384 is about 80255.6688589660. The cubic root of 6440972384 is about 1860.5891285246.

The spelling of 6440972384 in words is "six billion, four hundred forty million, nine hundred seventy-two thousand, three hundred eighty-four".