6399590400 has 648 divisors, whose sum is σ = 27044769024. Its totient is φ = 1415577600.

The previous prime is 6399590377. The next prime is 6399590471. The reversal of 6399590400 is 40959936.

It is a happy number.

6399590400 is a `hidden beast` number, since 639 + 9 + 5 + 9 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 206438385 + ... + 206438415.

Almost surely, 2^6399590400 is an apocalyptic number.

6399590400 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 6399590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13522384512).

6399590400 is an abundant number, since it is smaller than the sum of its proper divisors (20645178624).

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

6399590400 is an equidigital number, since it uses as much as digits as its factorization.

6399590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 6399590400 is about 79997.4399590387. The cubic root of 6399590400 is about 1856.5959243754.

The spelling of 6399590400 in words is "six billion, three hundred ninety-nine million, five hundred ninety thousand, four hundred".