164065279680 has 672 divisors, whose sum is σ = 619751059200. Its totient is φ = 41197621248.

The previous prime is 164065279669. The next prime is 164065279709. The reversal of 164065279680 is 86972560461.

164065279680 is a `hidden beast` number, since 16 + 40 + 6 + 527 + 9 + 68 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 432889731 + ... + 432890109.

It is an arithmetic number, because the mean of its divisors is an integer number (922248600).

Almost surely, 2^164065279680 is an apocalyptic number.

164065279680 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 164065279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309875529600).

164065279680 is an abundant number, since it is smaller than the sum of its proper divisors (455685779520).

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

164065279680 is a wasteful number, since it uses less digits than its factorization.

164065279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 164065279680 in words is "one hundred sixty-four billion, sixty-five million, two hundred seventy-nine thousand, six hundred eighty".