167984271360 has 832 divisors, whose sum is σ = 641650176000. Its totient is φ = 41564897280.

The previous prime is 167984271337. The next prime is 167984271397. The reversal of 167984271360 is 63172489761.

167984271360 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 8 + 4 + 271 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 167984271297 and 167984271306.

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, 619868025 + ... + 619868295.

Almost surely, 2^167984271360 is an apocalyptic number.

167984271360 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 167984271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320825088000).

167984271360 is an abundant number, since it is smaller than the sum of its proper divisors (473665904640).

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

167984271360 is a wasteful number, since it uses less digits than its factorization.

167984271360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 167984271360 in words is "one hundred sixty-seven billion, nine hundred eighty-four million, two hundred seventy-one thousand, three hundred sixty".