167312666928960 has 1008 divisors, whose sum is σ = 721083212209152. Its totient is φ = 35400134246400.

The previous prime is 167312666928941. The next prime is 167312666928977. The reversal of 167312666928960 is 69829666213761.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×167312666928960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99787140 + ... + 101449980.

Almost surely, 2^{167312666928960} is an apocalyptic number.

167312666928960 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 167312666928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360541606104576).

167312666928960 is an abundant number, since it is smaller than the sum of its proper divisors (553770545280192).

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

167312666928960 is a wasteful number, since it uses less digits than its factorization.

167312666928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662932 (or 1662912 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 167312666928960 in words is "one hundred sixty-seven trillion, three hundred twelve billion, six hundred sixty-six million, nine hundred twenty-eight thousand, nine hundred sixty".