164747459520 has 1344 divisors, whose sum is σ = 713612390400. Its totient is φ = 35022274560.

The previous prime is 164747459509. The next prime is 164747459563. The reversal of 164747459520 is 25954747461.

164747459520 is a `hidden beast` number, since 1 + 6 + 4 + 7 + 47 + 4 + 595 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2085410841 + ... + 2085410919.

It is an arithmetic number, because the mean of its divisors is an integer number (530961600).

Almost surely, 2^164747459520 is an apocalyptic number.

164747459520 is a gapful number since it is divisible by the number (10) 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 164747459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356806195200).

164747459520 is an abundant number, since it is smaller than the sum of its proper divisors (548864930880).

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

164747459520 is a wasteful number, since it uses less digits than its factorization.

164747459520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 164747459520 in words is "one hundred sixty-four billion, seven hundred forty-seven million, four hundred fifty-nine thousand, five hundred twenty".