6326122880 has 512 divisors, whose sum is σ = 20135485440. Its totient is φ = 1843200000.

The previous prime is 6326122879. The next prime is 6326122889. The reversal of 6326122880 is 882216236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6326122889) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62634830 + ... + 62634930.

It is an arithmetic number, because the mean of its divisors is an integer number (39327120).

Almost surely, 2^6326122880 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 6326122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10067742720).

6326122880 is an abundant number, since it is smaller than the sum of its proper divisors (13809362560).

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

6326122880 is a wasteful number, since it uses less digits than its factorization.

6326122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 6326122880 is about 79536.9277757194. The cubic root of 6326122880 is about 1849.4639674183.

The spelling of 6326122880 in words is "six billion, three hundred twenty-six million, one hundred twenty-two thousand, eight hundred eighty".