167382996480 has 960 divisors, whose sum is σ = 702139078080. Its totient is φ = 37679136768.

The previous prime is 167382996479. The next prime is 167382996499. The reversal of 167382996480 is 84699283761.

167382996480 is a `hidden beast` number, since 1 + 6 + 73 + 82 + 9 + 9 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 247241902 + ... + 247242578.

It is an arithmetic number, because the mean of its divisors is an integer number (731394873).

Almost surely, 2^167382996480 is an apocalyptic number.

167382996480 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 167382996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351069539040).

167382996480 is an abundant number, since it is smaller than the sum of its proper divisors (534756081600).

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

167382996480 is an equidigital number, since it uses as much as digits as its factorization.

167382996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 167382996480 in words is "one hundred sixty-seven billion, three hundred eighty-two million, nine hundred ninety-six thousand, four hundred eighty".