164298934800 has 1440 divisors, whose sum is σ = 773710479360. Its totient is φ = 31178649600.

The previous prime is 164298934763. The next prime is 164298934801. The reversal of 164298934800 is 8439892461.

164298934800 is a `hidden beast` number, since 1 + 6 + 4 + 298 + 9 + 348 + 0 + 0 = 666.

164298934800 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (164298934801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 457657021 + ... + 457657379.

It is an arithmetic number, because the mean of its divisors is an integer number (537298944).

Almost surely, 2^164298934800 is an apocalyptic number.

164298934800 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 164298934800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386855239680).

164298934800 is an abundant number, since it is smaller than the sum of its proper divisors (609411544560).

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

164298934800 is a wasteful number, since it uses less digits than its factorization.

164298934800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 164298934800 in words is "one hundred sixty-four billion, two hundred ninety-eight million, nine hundred thirty-four thousand, eight hundred".