66918202560 has 336 divisors, whose sum is σ = 252655303680. Its totient is φ = 16121825280.

The previous prime is 66918202543. The next prime is 66918202601. The reversal of 66918202560 is 6520281966.

66918202560 is a `hidden beast` number, since 6 + 6 + 9 + 1 + 82 + 0 + 2 + 560 = 666.

It is a super-2 number, since 2×66918202560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5157361 + ... + 5170319.

Almost surely, 2^66918202560 is an apocalyptic number.

66918202560 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 66918202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126327651840).

66918202560 is an abundant number, since it is smaller than the sum of its proper divisors (185737101120).

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

66918202560 is a wasteful number, since it uses less digits than its factorization.

66918202560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13156 (or 13143 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 66918202560 in words is "sixty-six billion, nine hundred eighteen million, two hundred two thousand, five hundred sixty".