164297299320 has 1920 divisors, whose sum is σ = 767520230400. Its totient is φ = 30710845440.

The previous prime is 164297299273. The next prime is 164297299337. The reversal of 164297299320 is 23992792461.

164297299320 is a `hidden beast` number, since 1 + 6 + 4 + 29 + 7 + 299 + 320 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1199250292 + ... + 1199250428.

It is an arithmetic number, because the mean of its divisors is an integer number (399750120).

Almost surely, 2^164297299320 is an apocalyptic number.

164297299320 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 164297299320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383760115200).

164297299320 is an abundant number, since it is smaller than the sum of its proper divisors (603222931080).

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

164297299320 is a wasteful number, since it uses less digits than its factorization.

164297299320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 164297299320 in words is "one hundred sixty-four billion, two hundred ninety-seven million, two hundred ninety-nine thousand, three hundred twenty".