66812664506112 has 360 divisors, whose sum is σ = 228062883720672. Its totient is φ = 19057545216000.

The previous prime is 66812664506041. The next prime is 66812664506183. The reversal of 66812664506112 is 21160546621866.

66812664506112 is a `hidden beast` number, since 6 + 6 + 8 + 12 + 6 + 6 + 4 + 5 + 0 + 611 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (66812664506041) and next prime (66812664506183).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86853412 + ... + 87619292.

Almost surely, 2^{66812664506112} 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 66812664506112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114031441860336).

66812664506112 is an abundant number, since it is smaller than the sum of its proper divisors (161250219214560).

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

66812664506112 is an equidigital number, since it uses as much as digits as its factorization.

66812664506112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766517 (or 766494 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 66812664506112 in words is "sixty-six trillion, eight hundred twelve billion, six hundred sixty-four million, five hundred six thousand, one hundred twelve".