164562496800 has 288 divisors, whose sum is σ = 577414918080. Its totient is φ = 40468377600.

The previous prime is 164562496781. The next prime is 164562496801. The reversal of 164562496800 is 8694265461.

It is not an unprimeable number, because it can be changed into a prime (164562496801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44582955 + ... + 44586645.

It is an arithmetic number, because the mean of its divisors is an integer number (2004912910).

Almost surely, 2^164562496800 is an apocalyptic number.

164562496800 is a gapful number since it is divisible by the number (10) 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 164562496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288707459040).

164562496800 is an abundant number, since it is smaller than the sum of its proper divisors (412852421280).

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

164562496800 is a wasteful number, since it uses less digits than its factorization.

164562496800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5156 (or 5143 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 164562496800 in words is "one hundred sixty-four billion, five hundred sixty-two million, four hundred ninety-six thousand, eight hundred".