164006913024 has 528 divisors, whose sum is σ = 525640909248. Its totient is φ = 50897092608.

The previous prime is 164006913019. The next prime is 164006913061. The reversal of 164006913024 is 420319600461.

164006913024 is a `hidden beast` number, since 1 + 640 + 0 + 6 + 9 + 1 + 3 + 0 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 164006913024.

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, 579529587 + ... + 579529869.

Almost surely, 2^164006913024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164006913024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262820454624).

164006913024 is an abundant number, since it is smaller than the sum of its proper divisors (361633996224).

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

164006913024 is a wasteful number, since it uses less digits than its factorization.

164006913024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 164006913024 in words is "one hundred sixty-four billion, six million, nine hundred thirteen thousand, twenty-four".