166866638400 has 756 divisors, whose sum is σ = 752667786000. Its totient is φ = 34671974400.

The previous prime is 166866638357. The next prime is 166866638401. The reversal of 166866638400 is 4836668661.

It is a super-3 number, since 3×166866638400³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (166866638401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7750851 + ... + 7772349.

Almost surely, 2^166866638400 is an apocalyptic number.

166866638400 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 166866638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376333893000).

166866638400 is an abundant number, since it is smaller than the sum of its proper divisors (585801147600).

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

166866638400 is a wasteful number, since it uses less digits than its factorization.

166866638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21552 (or 21527 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 166866638400 in words is "one hundred sixty-six billion, eight hundred sixty-six million, six hundred thirty-eight thousand, four hundred".