164367212800 has 108 divisors (see below), whose sum is σ = 464953879936. Its totient is φ = 56354457600.

The previous prime is 164367212791. The next prime is 164367212813. The reversal of 164367212800 is 8212763461.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1789656 + ... + 1879255.

Almost surely, 2^164367212800 is an apocalyptic number.

164367212800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164367212800 is an abundant number, since it is smaller than the sum of its proper divisors (300586667136).

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

164367212800 is an equidigital number, since it uses as much as digits as its factorization.

164367212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668944 (or 3668925 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 164367212800 in words is "one hundred sixty-four billion, three hundred sixty-seven million, two hundred twelve thousand, eight hundred".