66900897303264 has 720 divisors, whose sum is σ = 217421634686256. Its totient is φ = 20108622643200.

The previous prime is 66900897303241. The next prime is 66900897303299. The reversal of 66900897303264 is 46230379800966.

66900897303264 is a `hidden beast` number, since 6 + 69 + 0 + 0 + 8 + 9 + 7 + 303 + 264 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4854568054 + ... + 4854581834.

Almost surely, 2^{66900897303264} 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 66900897303264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108710817343128).

66900897303264 is an abundant number, since it is smaller than the sum of its proper divisors (150520737382992).

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

66900897303264 is a wasteful number, since it uses less digits than its factorization.

66900897303264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14009 (or 13963 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 66900897303264 in words is "sixty-six trillion, nine hundred billion, eight hundred ninety-seven million, three hundred three thousand, two hundred sixty-four".