66953652480 has 864 divisors, whose sum is σ = 275613287040. Its totient is φ = 14792785920.

The previous prime is 66953652463. The next prime is 66953652481. The reversal of 66953652480 is 8425635966.

66953652480 is a `hidden beast` number, since 6 + 6 + 9 + 5 + 36 + 524 + 80 = 666.

It is a super-2 number, since 2×66953652480² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66953652481) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 159793711 + ... + 159794129.

It is an arithmetic number, because the mean of its divisors is an integer number (318996860).

Almost surely, 2^66953652480 is an apocalyptic number.

66953652480 is a gapful number since it is divisible by the number (60) 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 66953652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137806643520).

66953652480 is an abundant number, since it is smaller than the sum of its proper divisors (208659634560).

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

66953652480 is a wasteful number, since it uses less digits than its factorization.

66953652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 66953652480 in words is "sixty-six billion, nine hundred fifty-three million, six hundred fifty-two thousand, four hundred eighty".