166840746840 has 256 divisors, whose sum is σ = 565567833600. Its totient is φ = 43741555200.

The previous prime is 166840746827. The next prime is 166840746847. The reversal of 166840746840 is 48647048661.

166840746840 is a `hidden beast` number, since 1 + 66 + 84 + 0 + 7 + 468 + 40 = 666.

It is a super-2 number, since 2×166840746840² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166840746847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18909630 + ... + 18918450.

It is an arithmetic number, because the mean of its divisors is an integer number (2209249350).

Almost surely, 2^166840746840 is an apocalyptic number.

166840746840 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 166840746840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282783916800).

166840746840 is an abundant number, since it is smaller than the sum of its proper divisors (398727086760).

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

166840746840 is a wasteful number, since it uses less digits than its factorization.

166840746840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9135 (or 9125 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 166840746840 in words is "one hundred sixty-six billion, eight hundred forty million, seven hundred forty-six thousand, eight hundred forty".