166766774832 has 420 divisors, whose sum is σ = 565679124576. Its totient is φ = 47466881280.

The previous prime is 166766774831. The next prime is 166766774851. The reversal of 166766774832 is 238477667661.

166766774832 is a `hidden beast` number, since 16 + 6 + 76 + 6 + 77 + 483 + 2 = 666.

It is a super-2 number, since 2×166766774832² (a number of 23 digits) contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 166766774832.

It is not an unprimeable number, because it can be changed into a prime (166766774831) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 246331678 + ... + 246332354.

Almost surely, 2^166766774832 is an apocalyptic number.

166766774832 is a gapful number since it is divisible by the number (12) 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 166766774832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282839562288).

166766774832 is an abundant number, since it is smaller than the sum of its proper divisors (398912349744).

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

166766774832 is an equidigital number, since it uses as much as digits as its factorization.

166766774832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1120 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 166766774832 in words is "one hundred sixty-six billion, seven hundred sixty-six million, seven hundred seventy-four thousand, eight hundred thirty-two".