164870304768 has 352 divisors, whose sum is σ = 542823787520. Its totient is φ = 49089576960.

The previous prime is 164870304743. The next prime is 164870304769. The reversal of 164870304768 is 867403078461.

164870304768 is a `hidden beast` number, since 1 + 64 + 87 + 0 + 30 + 476 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164870304769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11134746 + ... + 11149542.

Almost surely, 2^164870304768 is an apocalyptic number.

164870304768 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 164870304768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271411893760).

164870304768 is an abundant number, since it is smaller than the sum of its proper divisors (377953482752).

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

164870304768 is a wasteful number, since it uses less digits than its factorization.

164870304768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14870 (or 14846 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 164870304768 in words is "one hundred sixty-four billion, eight hundred seventy million, three hundred four thousand, seven hundred sixty-eight".