66949616740680 has 320 divisors, whose sum is σ = 232889990644080. Its totient is φ = 17238218342400.

The previous prime is 66949616740679. The next prime is 66949616740759. The reversal of 66949616740680 is 8604761694966.

66949616740680 is a `hidden beast` number, since 6 + 6 + 9 + 496 + 1 + 6 + 74 + 0 + 68 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 196566316164 + 66753050424516 = 443358^2 + 8170254^2 .

It is a super-3 number, since 3×66949616740680³ (a number of 42 digits) contains 333 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 = 66949616740599 and 66949616740608.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10287610 + ... + 15483350.

Almost surely, 2^{66949616740680} is an apocalyptic number.

66949616740680 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 66949616740680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116444995322040).

66949616740680 is an abundant number, since it is smaller than the sum of its proper divisors (165940373903400).

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

66949616740680 is a wasteful number, since it uses less digits than its factorization.

66949616740680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195902 (or 5195889 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 66949616740680 in words is "sixty-six trillion, nine hundred forty-nine billion, six hundred sixteen million, seven hundred forty thousand, six hundred eighty".