164160276480 has 480 divisors, whose sum is σ = 601063182720. Its totient is φ = 42834493440.

The previous prime is 164160276451. The next prime is 164160276517. The reversal of 164160276480 is 84672061461.

164160276480 is a `hidden beast` number, since 1 + 6 + 4 + 160 + 2 + 7 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 38981575 + ... + 38985785.

It is an arithmetic number, because the mean of its divisors is an integer number (1252214964).

Almost surely, 2^164160276480 is an apocalyptic number.

164160276480 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 164160276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300531591360).

164160276480 is an abundant number, since it is smaller than the sum of its proper divisors (436902906240).

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

164160276480 is an equidigital number, since it uses as much as digits as its factorization.

164160276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 164160276480 in words is "one hundred sixty-four billion, one hundred sixty million, two hundred seventy-six thousand, four hundred eighty".