66289967170560 has 1408 divisors, whose sum is σ = 278839020257280. Its totient is φ = 14614865510400.

The previous prime is 66289967170513. The next prime is 66289967170601. The reversal of 66289967170560 is 6507176998266.

66289967170560 is a `hidden beast` number, since 66 + 289 + 9 + 67 + 170 + 5 + 60 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 9509387875 + ... + 9509394845.

Almost surely, 2^{66289967170560} is an apocalyptic number.

66289967170560 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 66289967170560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139419510128640).

66289967170560 is an abundant number, since it is smaller than the sum of its proper divisors (212549053086720).

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

66289967170560 is a wasteful number, since it uses less digits than its factorization.

66289967170560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7360 (or 7336 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 66289967170560 in words is "sixty-six trillion, two hundred eighty-nine billion, nine hundred sixty-seven million, one hundred seventy thousand, five hundred sixty".