66434986386756 has 243 divisors, whose sum is σ = 184208088620829. Its totient is φ = 20179210019904.

The previous prime is 66434986386733. The next prime is 66434986386767. The reversal of 66434986386756 is 65768368943466.

The square root of 66434986386756 is 8150766.

It is a perfect power (a square), and thus also a powerful number.

66434986386756 is a `hidden beast` number, since 6 + 6 + 4 + 3 + 498 + 63 + 8 + 67 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9827660708100 + 56607325678656 = 3134910^2 + 7523784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 52768058455 + ... + 52768059713.

Almost surely, 2^{66434986386756} is an apocalyptic number.

66434986386756 is the 8150766-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66434986386756

66434986386756 is an abundant number, since it is smaller than the sum of its proper divisors (117773102234073).

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

66434986386756 is a wasteful number, since it uses less digits than its factorization.

66434986386756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 1360 counting only the distinct ones).

The product of its digits is 22574039040, while the sum is 81.

The spelling of 66434986386756 in words is "sixty-six trillion, four hundred thirty-four billion, nine hundred eighty-six million, three hundred eighty-six thousand, seven hundred fifty-six".