191664064080 has 640 divisors, whose sum is σ = 720664588800. Its totient is φ = 46653014016.

The previous prime is 191664064021. The next prime is 191664064127. The reversal of 191664064080 is 80460466191.

191664064080 is a `hidden beast` number, since 1 + 9 + 166 + 406 + 4 + 0 + 80 = 666.

It is a super-2 number, since 2×191664064080² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 171587682 + ... + 171588798.

It is an arithmetic number, because the mean of its divisors is an integer number (1126038420).

Almost surely, 2^191664064080 is an apocalyptic number.

191664064080 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 191664064080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360332294400).

191664064080 is an abundant number, since it is smaller than the sum of its proper divisors (529000524720).

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

191664064080 is a wasteful number, since it uses less digits than its factorization.

191664064080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 191664064080 in words is "one hundred ninety-one billion, six hundred sixty-four million, sixty-four thousand, eighty".