164999973600 has 2592 divisors, whose sum is σ = 813982714272. Its totient is φ = 30965760000.

The previous prime is 164999973581. The next prime is 164999973613. The reversal of 164999973600 is 6379999461.

164999973600 is a `hidden beast` number, since 16 + 4 + 9 + 9 + 9 + 9 + 7 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2704917570 + ... + 2704917630.

It is an arithmetic number, because the mean of its divisors is an integer number (314036541).

Almost surely, 2^164999973600 is an apocalyptic number.

164999973600 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 164999973600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406991357136).

164999973600 is an abundant number, since it is smaller than the sum of its proper divisors (648982740672).

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

164999973600 is a wasteful number, since it uses less digits than its factorization.

164999973600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 63.

The spelling of 164999973600 in words is "one hundred sixty-four billion, nine hundred ninety-nine million, nine hundred seventy-three thousand, six hundred".