67998829916160 has 4160 divisors, whose sum is σ = 304219634374656. Its totient is φ = 14413623459840.

The previous prime is 67998829916153. The next prime is 67998829916207. The reversal of 67998829916160 is 6161992889976.

67998829916160 is a `hidden beast` number, since 6 + 7 + 99 + 88 + 299 + 1 + 6 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 67998829916160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 660182814669 + ... + 660182814771.

Almost surely, 2^{67998829916160} is an apocalyptic number.

67998829916160 is a gapful number since it is divisible by the number (60) 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 67998829916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152109817187328).

67998829916160 is an abundant number, since it is smaller than the sum of its proper divisors (236220804458496).

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

67998829916160 is a wasteful number, since it uses less digits than its factorization.

67998829916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1269789696, while the sum is 81.

The spelling of 67998829916160 in words is "sixty-seven trillion, nine hundred ninety-eight billion, eight hundred twenty-nine million, nine hundred sixteen thousand, one hundred sixty".