6372332640 has 192 divisors, whose sum is σ = 22348569600. Its totient is φ = 1695831552.

The previous prime is 6372332639. The next prime is 6372332641. The reversal of 6372332640 is 462332736.

6372332640 is a `hidden beast` number, since 6 + 3 + 7 + 2 + 3 + 3 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (6372332639) and next prime (6372332641).

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

It is a junction number, because it is equal to n+sod(n) for n = 6372332595 and 6372332604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6372332641) 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, 2672889 + ... + 2675271.

It is an arithmetic number, because the mean of its divisors is an integer number (116398800).

Almost surely, 2^6372332640 is an apocalyptic number.

6372332640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6372332640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11174284800).

6372332640 is an abundant number, since it is smaller than the sum of its proper divisors (15976236960).

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

6372332640 is a wasteful number, since it uses less digits than its factorization.

6372332640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 6372332640 is about 79826.8917094985. The cubic root of 6372332640 is about 1853.9562415705.

The spelling of 6372332640 in words is "six billion, three hundred seventy-two million, three hundred thirty-two thousand, six hundred forty".