67985644605696 has 1152 divisors, whose sum is σ = 219686739148800. Its totient is φ = 20681044623360.

The previous prime is 67985644605679. The next prime is 67985644605757. The reversal of 67985644605696 is 69650644658976.

67985644605696 is a `hidden beast` number, since 6 + 7 + 9 + 8 + 5 + 6 + 4 + 46 + 0 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68603071761 + ... + 68603072751.

It is an arithmetic number, because the mean of its divisors is an integer number (190700294400).

Almost surely, 2^{67985644605696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67985644605696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109843369574400).

67985644605696 is an abundant number, since it is smaller than the sum of its proper divisors (151701094543104).

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

67985644605696 is a wasteful number, since it uses less digits than its factorization.

67985644605696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 14108774400, while the sum is 81.

The spelling of 67985644605696 in words is "sixty-seven trillion, nine hundred eighty-five billion, six hundred forty-four million, six hundred five thousand, six hundred ninety-six".