167162078720 has 640 divisors, whose sum is σ = 517406883840. Its totient is φ = 50376867840.

The previous prime is 167162078683. The next prime is 167162078749. The reversal of 167162078720 is 27870261761.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 570518894 + ... + 570519186.

It is an arithmetic number, because the mean of its divisors is an integer number (808448256).

Almost surely, 2^167162078720 is an apocalyptic number.

167162078720 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 167162078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258703441920).

167162078720 is an abundant number, since it is smaller than the sum of its proper divisors (350244805120).

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

167162078720 is a wasteful number, since it uses less digits than its factorization.

167162078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 47.

The spelling of 167162078720 in words is "one hundred sixty-seven billion, one hundred sixty-two million, seventy-eight thousand, seven hundred twenty".