468090167500800 has 3024 divisors, whose sum is σ = 1898751907433472. Its totient is φ = 113773156761600.

The previous prime is 468090167500783. The next prime is 468090167500801. The reversal of 468090167500800 is 8005761090864.

468090167500800 is a `hidden beast` number, since 46 + 8 + 0 + 9 + 0 + 16 + 7 + 500 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468090167500801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2218436812695 + ... + 2218436812905.

Almost surely, 2^{468090167500800} is an apocalyptic number.

468090167500800 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 468090167500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949375953716736).

468090167500800 is an abundant number, since it is smaller than the sum of its proper divisors (1430661739932672).

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

468090167500800 is an equidigital number, since it uses as much as digits as its factorization.

468090167500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 468090167500800 in words is "four hundred sixty-eight trillion, ninety billion, one hundred sixty-seven million, five hundred thousand, eight hundred".