167166180720 has 960 divisors, whose sum is σ = 722311769088. Its totient is φ = 33638400000.

The previous prime is 167166180697. The next prime is 167166180737. The reversal of 167166180720 is 27081661761.

167166180720 is a `hidden beast` number, since 1 + 6 + 7 + 1 + 6 + 618 + 0 + 7 + 20 = 666.

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 191 ways as a sum of consecutive naturals, for example, 570532894 + ... + 570533186.

Almost surely, 2^167166180720 is an apocalyptic number.

167166180720 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 167166180720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361155884544).

167166180720 is an abundant number, since it is smaller than the sum of its proper divisors (555145588368).

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

167166180720 is a wasteful number, since it uses less digits than its factorization.

167166180720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 167166180720 in words is "one hundred sixty-seven billion, one hundred sixty-six million, one hundred eighty thousand, seven hundred twenty".