164915896320 has 896 divisors, whose sum is σ = 680945633280. Its totient is φ = 37551734784.

The previous prime is 164915896267. The next prime is 164915896337. The reversal of 164915896320 is 23698519461.

164915896320 is a `hidden beast` number, since 16 + 49 + 1 + 589 + 6 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 627056509 + ... + 627056771.

Almost surely, 2^164915896320 is an apocalyptic number.

164915896320 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 164915896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340472816640).

164915896320 is an abundant number, since it is smaller than the sum of its proper divisors (516029736960).

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

164915896320 is an frugal number, since it uses more digits than its factorization.

164915896320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 164915896320 in words is "one hundred sixty-four billion, nine hundred fifteen million, eight hundred ninety-six thousand, three hundred twenty".