164924006688 has 576 divisors, whose sum is σ = 587387953152. Its totient is φ = 44521021440.

The previous prime is 164924006659. The next prime is 164924006707. The reversal of 164924006688 is 886600429461.

164924006688 is a `hidden beast` number, since 16 + 4 + 92 + 400 + 66 + 88 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72556720 + ... + 72558992.

It is an arithmetic number, because the mean of its divisors is an integer number (1019770752).

Almost surely, 2^164924006688 is an apocalyptic number.

164924006688 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 164924006688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293693976576).

164924006688 is an abundant number, since it is smaller than the sum of its proper divisors (422463946464).

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

164924006688 is a wasteful number, since it uses less digits than its factorization.

164924006688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 164924006688 in words is "one hundred sixty-four billion, nine hundred twenty-four million, six thousand, six hundred eighty-eight".