66834358416 has 560 divisors, whose sum is σ = 237126787200. Its totient is φ = 17805422592.

The previous prime is 66834358391. The next prime is 66834358417. The reversal of 66834358416 is 61485343866.

66834358416 is a `hidden beast` number, since 6 + 6 + 8 + 3 + 43 + 584 + 16 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (66834358417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 248454730 + ... + 248454998.

Almost surely, 2^66834358416 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 66834358416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118563393600).

66834358416 is an abundant number, since it is smaller than the sum of its proper divisors (170292428784).

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

66834358416 is a wasteful number, since it uses less digits than its factorization.

66834358416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 477 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 66834358416 in words is "sixty-six billion, eight hundred thirty-four million, three hundred fifty-eight thousand, four hundred sixteen".