468126864000 has 768 divisors, whose sum is σ = 1835474659200. Its totient is φ = 118244966400.

The previous prime is 468126863959. The next prime is 468126864061. The reversal of 468126864000 is 468621864.

468126864000 is a `hidden beast` number, since 46 + 8 + 126 + 86 + 400 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73868832 + ... + 73875168.

Almost surely, 2^468126864000 is an apocalyptic number.

468126864000 is a gapful number since it is divisible by the number (40) 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 468126864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917737329600).

468126864000 is an abundant number, since it is smaller than the sum of its proper divisors (1367347795200).

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

468126864000 is an equidigital number, since it uses as much as digits as its factorization.

468126864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6400 (or 6366 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 468126864000 in words is "four hundred sixty-eight billion, one hundred twenty-six million, eight hundred sixty-four thousand".