6404100129960 has 256 divisors, whose sum is σ = 21369136158720. Its totient is φ = 1524718080000.

The previous prime is 6404100129949. The next prime is 6404100129961. The reversal of 6404100129960 is 699210014046.

It is not an unprimeable number, because it can be changed into a prime (6404100129961) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 91897530 + ... + 91967190.

It is an arithmetic number, because the mean of its divisors is an integer number (83473188120).

Almost surely, 2^{6404100129960} is an apocalyptic number.

6404100129960 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 6404100129960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10684568079360).

6404100129960 is an abundant number, since it is smaller than the sum of its proper divisors (14965036028760).

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

6404100129960 is a wasteful number, since it uses less digits than its factorization.

6404100129960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71620 (or 71616 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 6404100129960 in words is "six trillion, four hundred four billion, one hundred million, one hundred twenty-nine thousand, nine hundred sixty".