6400462326400 has 192 divisors, whose sum is σ = 15895277559000. Its totient is φ = 2546598297600.

The previous prime is 6400462326383. The next prime is 6400462326437. The reversal of 6400462326400 is 46232640046.

It can be written as a sum of positive squares in 12 ways, for example, as 846974177344 + 5553488149056 = 920312^2 + 2356584^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6400462326400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470165994 + ... + 470179606.

Almost surely, 2^{6400462326400} 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 6400462326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947638779500).

6400462326400 is an abundant number, since it is smaller than the sum of its proper divisors (9494815232600).

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

6400462326400 is a wasteful number, since it uses less digits than its factorization.

6400462326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14407 (or 14390 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 6400462326400 its reverse (46232640046), we get a palindrome (6446694966446).

The spelling of 6400462326400 in words is "six trillion, four hundred billion, four hundred sixty-two million, three hundred twenty-six thousand, four hundred".