164011332800 has 336 divisors, whose sum is σ = 480471480000. Its totient is φ = 53913108480.

The previous prime is 164011332767. The next prime is 164011332827. The reversal of 164011332800 is 8233110461.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48393506 + ... + 48396894.

Almost surely, 2^164011332800 is an apocalyptic number.

164011332800 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 164011332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240235740000).

164011332800 is an abundant number, since it is smaller than the sum of its proper divisors (316460147200).

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

164011332800 is a wasteful number, since it uses less digits than its factorization.

164011332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 164011332800 in words is "one hundred sixty-four billion, eleven million, three hundred thirty-two thousand, eight hundred".