167872739328 has 768 divisors, whose sum is σ = 594397440000. Its totient is φ = 46776877056.

The previous prime is 167872739297. The next prime is 167872739371. The reversal of 167872739328 is 823937278761.

167872739328 is a `hidden beast` number, since 167 + 87 + 2 + 7 + 393 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1005225901 + ... + 1005226067.

It is an arithmetic number, because the mean of its divisors is an integer number (773955000).

Almost surely, 2^167872739328 is an apocalyptic number.

167872739328 is a gapful number since it is divisible by the number (18) 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 167872739328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720000).

167872739328 is an abundant number, since it is smaller than the sum of its proper divisors (426524700672).

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

167872739328 is an equidigital number, since it uses as much as digits as its factorization.

167872739328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 232 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 63.

The spelling of 167872739328 in words is "one hundred sixty-seven billion, eight hundred seventy-two million, seven hundred thirty-nine thousand, three hundred twenty-eight".