164272472064 has 544 divisors, whose sum is σ = 531498147840. Its totient is φ = 49941577728.

The previous prime is 164272471981. The next prime is 164272472141. The reversal of 164272472064 is 460274272461.

164272472064 is a `hidden beast` number, since 16 + 42 + 72 + 472 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (544).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1293483969 + ... + 1293484095.

Almost surely, 2^164272472064 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 164272472064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265749073920).

164272472064 is an abundant number, since it is smaller than the sum of its proper divisors (367225675776).

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

164272472064 is an equidigital number, since it uses as much as digits as its factorization.

164272472064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 164272472064 in words is "one hundred sixty-four billion, two hundred seventy-two million, four hundred seventy-two thousand, sixty-four".