6331678080 has 768 divisors, whose sum is σ = 26255093760. Its totient is φ = 1285079040.

The previous prime is 6331678013. The next prime is 6331678097. The reversal of 6331678080 is 808761336.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37914157 + ... + 37914323.

It is an arithmetic number, because the mean of its divisors is an integer number (34186320).

Almost surely, 2^6331678080 is an apocalyptic number.

6331678080 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 6331678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13127546880).

6331678080 is an abundant number, since it is smaller than the sum of its proper divisors (19923415680).

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

6331678080 is a wasteful number, since it uses less digits than its factorization.

6331678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 6331678080 is about 79571.8422559136. The cubic root of 6331678080 is about 1850.0051696958.

The spelling of 6331678080 in words is "six billion, three hundred thirty-one million, six hundred seventy-eight thousand, eighty".