6400312934400 has 1632 divisors, whose sum is σ = 29333060659200. Its totient is φ = 1329227366400.

The previous prime is 6400312934371. The next prime is 6400312934401. The reversal of 6400312934400 is 44392130046.

It is a happy number.

6400312934400 is a `hidden beast` number, since 640 + 0 + 3 + 1 + 2 + 9 + 3 + 4 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6400312934401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3406232661 + ... + 3406234539.

Almost surely, 2^{6400312934400} is an apocalyptic number.

6400312934400 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 6400312934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14666530329600).

6400312934400 is an abundant number, since it is smaller than the sum of its proper divisors (22932747724800).

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

6400312934400 is a wasteful number, since it uses less digits than its factorization.

6400312934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 6400312934400 in words is "six trillion, four hundred billion, three hundred twelve million, nine hundred thirty-four thousand, four hundred".