6407238880 has 96 divisors (see below), whose sum is σ = 17314105536. Its totient is φ = 2194919424.

The previous prime is 6407238853. The next prime is 6407238889. The reversal of 6407238880 is 888327046.

It is a self number, because there is not a number n which added to its sum of digits gives 6407238880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6407238889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2392102 + ... + 2394778.

It is an arithmetic number, because the mean of its divisors is an integer number (180355266).

Almost surely, 2^6407238880 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 6407238880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8657052768).

6407238880 is an abundant number, since it is smaller than the sum of its proper divisors (10906866656).

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

6407238880 is a wasteful number, since it uses less digits than its factorization.

6407238880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836 (or 4828 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 6407238880 is about 80045.2302139234. The cubic root of 6407238880 is about 1857.3352677061.

The spelling of 6407238880 in words is "six billion, four hundred seven million, two hundred thirty-eight thousand, eight hundred eighty".