167667945984 has 1620 divisors, whose sum is σ = 691421632902. Its totient is φ = 38831063040.

The previous prime is 167667945979. The next prime is 167667946007. The reversal of 167667945984 is 489549766761.

It is a happy number.

167667945984 is a `hidden beast` number, since 167 + 6 + 6 + 7 + 9 + 459 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123285254400 + 44382691584 = 351120^2 + 210672^2 .

It is a super-2 number, since 2×167667945984² (a number of 23 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 161 ways as a sum of consecutive naturals, for example, 8824628727 + ... + 8824628745.

Almost surely, 2^167667945984 is an apocalyptic number.

167667945984 is a gapful number since it is divisible by the number (14) 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 167667945984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345710816451).

167667945984 is an abundant number, since it is smaller than the sum of its proper divisors (523753686918).

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

167667945984 is a wasteful number, since it uses less digits than its factorization.

167667945984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 59 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 167667945984 in words is "one hundred sixty-seven billion, six hundred sixty-seven million, nine hundred forty-five thousand, nine hundred eighty-four".