6331624440 has 128 divisors (see below), whose sum is σ = 19471795200. Its totient is φ = 1646184960.

The previous prime is 6331624427. The next prime is 6331624459. The reversal of 6331624440 is 444261336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5360650 + ... + 5361830.

It is an arithmetic number, because the mean of its divisors is an integer number (152123400).

Almost surely, 2^6331624440 is an apocalyptic number.

6331624440 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 6331624440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9735897600).

6331624440 is an abundant number, since it is smaller than the sum of its proper divisors (13140170760).

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

6331624440 is a wasteful number, since it uses less digits than its factorization.

6331624440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 6331624440 is about 79571.5052012968. The cubic root of 6331624440 is about 1849.9999454590. Note that the first 4 decimals are identical.

Adding to 6331624440 its reverse (444261336), we get a palindrome (6775885776).

The spelling of 6331624440 in words is "six billion, three hundred thirty-one million, six hundred twenty-four thousand, four hundred forty".