66674006740068 has 384 divisors, whose sum is σ = 203493164421120. Its totient is φ = 16514006906880.

The previous prime is 66674006740057. The next prime is 66674006740087. The reversal of 66674006740068 is 86004760047666.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 66674006739993 and 66674006740020.

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, 4971584283 + ... + 4971597693.

It is an arithmetic number, because the mean of its divisors is an integer number (529930115680).

Almost surely, 2^{66674006740068} 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 66674006740068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101746582210560).

66674006740068 is an abundant number, since it is smaller than the sum of its proper divisors (136819157681052).

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

66674006740068 is a wasteful number, since it uses less digits than its factorization.

66674006740068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17747 (or 17745 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 66674006740068 in words is "sixty-six trillion, six hundred seventy-four billion, six million, seven hundred forty thousand, sixty-eight".