66733897205664 has 960 divisors, whose sum is σ = 218163673728000. Its totient is φ = 19883044380672.

The previous prime is 66733897205623. The next prime is 66733897205681. The reversal of 66733897205664 is 46650279833766.

66733897205664 is a `hidden beast` number, since 6 + 6 + 7 + 3 + 38 + 9 + 7 + 20 + 566 + 4 = 666.

66733897205664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66733897205664² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 66733897205592 and 66733897205601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 91793530869 + ... + 91793531595.

It is an arithmetic number, because the mean of its divisors is an integer number (227253826800).

Almost surely, 2^{66733897205664} 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 66733897205664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109081836864000).

66733897205664 is an abundant number, since it is smaller than the sum of its proper divisors (151429776522336).

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

66733897205664 is a wasteful number, since it uses less digits than its factorization.

66733897205664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 1646023680, while the sum is 72.

The spelling of 66733897205664 in words is "sixty-six trillion, seven hundred thirty-three billion, eight hundred ninety-seven million, two hundred five thousand, six hundred sixty-four".