66464681472 has 480 divisors, whose sum is σ = 232449497280. Its totient is φ = 17877565440.

The previous prime is 66464681369. The next prime is 66464681509. The reversal of 66464681472 is 27418646466.

It is a happy number.

66464681472 is a `hidden beast` number, since 66 + 46 + 468 + 14 + 72 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 38351518 + ... + 38353250.

It is an arithmetic number, because the mean of its divisors is an integer number (484269786).

Almost surely, 2^66464681472 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 66464681472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116224748640).

66464681472 is an abundant number, since it is smaller than the sum of its proper divisors (165984815808).

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

66464681472 is a wasteful number, since it uses less digits than its factorization.

66464681472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1815 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 66464681472 in words is "sixty-six billion, four hundred sixty-four million, six hundred eighty-one thousand, four hundred seventy-two".