167868215849790 has 256 divisors, whose sum is σ = 464499510681600. Its totient is φ = 43095151872000.

The previous prime is 167868215849779. The next prime is 167868215849791. The reversal of 167868215849790 is 97948512868761.

167868215849790 is a `hidden beast` number, since 1 + 6 + 7 + 8 + 6 + 8 + 21 + 584 + 9 + 7 + 9 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167868215849791) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2301956269 + ... + 2302029191.

It is an arithmetic number, because the mean of its divisors is an integer number (1814451213600).

Almost surely, 2^{167868215849790} is an apocalyptic number.

167868215849790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 167868215849790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232249755340800).

167868215849790 is an abundant number, since it is smaller than the sum of its proper divisors (296631294831810).

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

167868215849790 is a wasteful number, since it uses less digits than its factorization.

167868215849790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74400 (or 74394 counting only the distinct ones).

The product of its (nonzero) digits is 2926264320, while the sum is 81.

The spelling of 167868215849790 in words is "one hundred sixty-seven trillion, eight hundred sixty-eight billion, two hundred fifteen million, eight hundred forty-nine thousand, seven hundred ninety".