164928710172672 has 672 divisors, whose sum is σ = 511684794077184. Its totient is φ = 53028687052800.

The previous prime is 164928710172659. The next prime is 164928710172719. The reversal of 164928710172672 is 276271017829461.

164928710172672 is a `hidden beast` number, since 1 + 6 + 492 + 8 + 7 + 1 + 0 + 1 + 72 + 6 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19562172297 + ... + 19562180727.

It is an arithmetic number, because the mean of its divisors is an integer number (761435705472).

Almost surely, 2^{164928710172672} is an apocalyptic number.

164928710172672 is a gapful number since it is divisible by the number (12) 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 164928710172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255842397038592).

164928710172672 is an abundant number, since it is smaller than the sum of its proper divisors (346756083904512).

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

164928710172672 is an frugal number, since it uses more digits than its factorization.

164928710172672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8820 (or 8784 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 164928710172672 in words is "one hundred sixty-four trillion, nine hundred twenty-eight billion, seven hundred ten million, one hundred seventy-two thousand, six hundred seventy-two".