6400131600 has 240 divisors, whose sum is σ = 21112970112. Its totient is φ = 1656545280.

The previous prime is 6400131553. The next prime is 6400131623. The reversal of 6400131600 is 61310046.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6550312 + ... + 6551288.

Almost surely, 2^6400131600 is an apocalyptic number.

6400131600 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 6400131600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10556485056).

6400131600 is an abundant number, since it is smaller than the sum of its proper divisors (14712838512).

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

6400131600 is a wasteful number, since it uses less digits than its factorization.

6400131600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 6400131600 is about 80000.8224957719. The cubic root of 6400131600 is about 1856.6482590473.

Adding to 6400131600 its reverse (61310046), we get a palindrome (6461441646).

The spelling of 6400131600 in words is "six billion, four hundred million, one hundred thirty-one thousand, six hundred".