164722464 has 96 divisors (see below), whose sum is σ = 486440640. Its totient is φ = 54222336.

The previous prime is 164722447. The next prime is 164722471. The reversal of 164722464 is 464227461.

164722464 is a `hidden beast` number, since 1 + 647 + 2 + 2 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70564 + ... + 72860.

It is an arithmetic number, because the mean of its divisors is an integer number (5067090).

Almost surely, 2^164722464 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 164722464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243220320).

164722464 is an abundant number, since it is smaller than the sum of its proper divisors (321718176).

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

164722464 is a wasteful number, since it uses less digits than its factorization.

164722464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2385 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 164722464 is about 12834.4249579013. The cubic root of 164722464 is about 548.1729611922.

The spelling of 164722464 in words is "one hundred sixty-four million, seven hundred twenty-two thousand, four hundred sixty-four".