164472120800 has 72 divisors (see below), whose sum is σ = 432403558776. Its totient is φ = 60728163840.

The previous prime is 164472120797. The next prime is 164472120859. The reversal of 164472120800 is 8021274461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7896914 + ... + 7917713.

It is an arithmetic number, because the mean of its divisors is an integer number (6005604983).

Almost surely, 2^164472120800 is an apocalyptic number.

164472120800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164472120800 is an abundant number, since it is smaller than the sum of its proper divisors (267931437976).

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

164472120800 is a wasteful number, since it uses less digits than its factorization.

164472120800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15814660 (or 15814647 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 164472120800 in words is "one hundred sixty-four billion, four hundred seventy-two million, one hundred twenty thousand, eight hundred".