420627168000 has 2016 divisors, whose sum is σ = 1805325063360. Its totient is φ = 96745881600.

The previous prime is 420627167993. The next prime is 420627168121. The reversal of 420627168000 is 861726024.

420627168000 is a `hidden beast` number, since 4 + 20 + 627 + 1 + 6 + 8 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5762015964 + ... + 5762016036.

Almost surely, 2^420627168000 is an apocalyptic number.

420627168000 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 420627168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902662531680).

420627168000 is an abundant number, since it is smaller than the sum of its proper divisors (1384697895360).

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

420627168000 is an equidigital number, since it uses as much as digits as its factorization.

420627168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 420627168000 in words is "four hundred twenty billion, six hundred twenty-seven million, one hundred sixty-eight thousand".