6400054400 has 96 divisors (see below), whose sum is σ = 16046644080. Its totient is φ = 2521728000.

The previous prime is 6400054369. The next prime is 6400054421. The reversal of 6400054400 is 44500046.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199475 + ... + 229325.

Almost surely, 2^6400054400 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 6400054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8023322040).

6400054400 is an abundant number, since it is smaller than the sum of its proper divisors (9646589680).

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

6400054400 is a wasteful number, since it uses less digits than its factorization.

6400054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29942 (or 29925 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 6400054400 is about 80000.3399992775. The cubic root of 6400054400 is about 1856.6407938976.

Adding to 6400054400 its reverse (44500046), we get a palindrome (6444554446).

The spelling of 6400054400 in words is "six billion, four hundred million, fifty-four thousand, four hundred".