6401331504 has 270 divisors, whose sum is σ = 19855240964. Its totient is φ = 1998743040.

The previous prime is 6401331481. The next prime is 6401331509. The reversal of 6401331504 is 4051331046.

6401331504 is a `hidden beast` number, since 640 + 1 + 3 + 3 + 15 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6401331509) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 30337959 + ... + 30338169.

Almost surely, 2^6401331504 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 6401331504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9927620482).

6401331504 is an abundant number, since it is smaller than the sum of its proper divisors (13453909460).

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

6401331504 is an equidigital number, since it uses as much as digits as its factorization.

6401331504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6401331504 is about 80008.3214672074. The cubic root of 6401331504 is about 1856.7642806441.

The spelling of 6401331504 in words is "six billion, four hundred one million, three hundred thirty-one thousand, five hundred four".