164719371960 has 512 divisors, whose sum is σ = 648974592000. Its totient is φ = 36854438400.

The previous prime is 164719371959. The next prime is 164719371977. The reversal of 164719371960 is 69173917461.

164719371960 is a `hidden beast` number, since 16 + 471 + 9 + 3 + 71 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 164719371897 and 164719371906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26097205 + ... + 26103515.

It is an arithmetic number, because the mean of its divisors is an integer number (1267528500).

Almost surely, 2^164719371960 is an apocalyptic number.

164719371960 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 164719371960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324487296000).

164719371960 is an abundant number, since it is smaller than the sum of its proper divisors (484255220040).

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

164719371960 is a wasteful number, since it uses less digits than its factorization.

164719371960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6381 (or 6345 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 164719371960 in words is "one hundred sixty-four billion, seven hundred nineteen million, three hundred seventy-one thousand, nine hundred sixty".