166273136640 has 384 divisors, whose sum is σ = 636528110400. Its totient is φ = 40927887360.

The previous prime is 166273136611. The next prime is 166273136651. The reversal of 166273136640 is 46631372661.

166273136640 is a `hidden beast` number, since 1 + 6 + 627 + 3 + 13 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×166273136640² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3571110 + ... + 3617370.

Almost surely, 2^166273136640 is an apocalyptic number.

166273136640 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 166273136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318264055200).

166273136640 is an abundant number, since it is smaller than the sum of its proper divisors (470254973760).

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

166273136640 is a wasteful number, since it uses less digits than its factorization.

166273136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46310 (or 46284 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 166273136640 in words is "one hundred sixty-six billion, two hundred seventy-three million, one hundred thirty-six thousand, six hundred forty".