6332639040 has 672 divisors, whose sum is σ = 27257508096. Its totient is φ = 1313832960.

The previous prime is 6332639023. The next prime is 6332639041. The reversal of 6332639040 is 409362336.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 6332638986 and 6332639004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6332639041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19131675 + ... + 19132005.

It is an arithmetic number, because the mean of its divisors is an integer number (40561768).

Almost surely, 2^6332639040 is an apocalyptic number.

6332639040 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 6332639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13628754048).

6332639040 is an abundant number, since it is smaller than the sum of its proper divisors (20924869056).

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

6332639040 is a wasteful number, since it uses less digits than its factorization.

6332639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 6332639040 is about 79577.8803437237. The cubic root of 6332639040 is about 1850.0987568415.

The spelling of 6332639040 in words is "six billion, three hundred thirty-two million, six hundred thirty-nine thousand, forty".