66162201680704 has 112 divisors (see below), whose sum is σ = 142777983897360. Its totient is φ = 30292122009600.

The previous prime is 66162201680657. The next prime is 66162201680711. The reversal of 66162201680704 is 40708610226166.

It can be written as a sum of positive squares in 8 ways, for example, as 46705633559104 + 19456568121600 = 6834152^2 + 4410960^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1272103852 + ... + 1272155860.

It is an arithmetic number, because the mean of its divisors is an integer number (1274803427655).

Almost surely, 2^{66162201680704} is an apocalyptic number.

66162201680704 is a gapful number since it is divisible by the number (64) 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 66162201680704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71388991948680).

66162201680704 is an abundant number, since it is smaller than the sum of its proper divisors (76615782216656).

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

66162201680704 is a wasteful number, since it uses less digits than its factorization.

66162201680704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83676 (or 83666 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 66162201680704 in words is "sixty-six trillion, one hundred sixty-two billion, two hundred one million, six hundred eighty thousand, seven hundred four".