164861772768 has 480 divisors, whose sum is σ = 619267638528. Its totient is φ = 41774745600.

The previous prime is 164861772767. The next prime is 164861772769. The reversal of 164861772768 is 867277168461.

164861772768 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 617 + 7 + 2 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (164861772767) and next prime (164861772769).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164861772767) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8172871 + ... + 8193017.

Almost surely, 2^164861772768 is an apocalyptic number.

164861772768 is a gapful number since it is divisible by the number (18) 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 164861772768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309633819264).

164861772768 is an abundant number, since it is smaller than the sum of its proper divisors (454405865760).

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

164861772768 is a wasteful number, since it uses less digits than its factorization.

164861772768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20228 (or 20211 counting only the distinct ones).

The product of its digits is 37933056, while the sum is 63.

The spelling of 164861772768 in words is "one hundred sixty-four billion, eight hundred sixty-one million, seven hundred seventy-two thousand, seven hundred sixty-eight".