164480928768 has 264 divisors, whose sum is σ = 520159894800. Its totient is φ = 49749590016.

The previous prime is 164480928749. The next prime is 164480928817. The reversal of 164480928768 is 867829084461.

164480928768 is a `hidden beast` number, since 1 + 6 + 4 + 480 + 92 + 8 + 7 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7057038 + ... + 7080306.

Almost surely, 2^164480928768 is an apocalyptic number.

164480928768 is a gapful number since it is divisible by the number (18) 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 164480928768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260079947400).

164480928768 is an abundant number, since it is smaller than the sum of its proper divisors (355678966032).

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

164480928768 is a wasteful number, since it uses less digits than its factorization.

164480928768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23367 (or 23346 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 164480928768 in words is "one hundred sixty-four billion, four hundred eighty million, nine hundred twenty-eight thousand, seven hundred sixty-eight".