66074852846880 has 144 divisors (see below), whose sum is σ = 225855613731384. Its totient is φ = 17590642790400.

The previous prime is 66074852846869. The next prime is 66074852846881. The reversal of 66074852846880 is 8864825847066.

66074852846880 is a `hidden beast` number, since 6 + 6 + 0 + 7 + 4 + 85 + 2 + 8 + 468 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63227115596304 + 2847737250576 = 7951548^2 + 1687524^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 = 66074852846799 and 66074852846808.

It is not an unprimeable number, because it can be changed into a prime (66074852846881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37308699 + ... + 39039578.

Almost surely, 2^{66074852846880} is an apocalyptic number.

66074852846880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66074852846880 is an abundant number, since it is smaller than the sum of its proper divisors (159780760884504).

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

66074852846880 is a wasteful number, since it uses less digits than its factorization.

66074852846880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76348899 (or 76348888 counting only the distinct ones).

The product of its (nonzero) digits is 990904320, while the sum is 72.

The spelling of 66074852846880 in words is "sixty-six trillion, seventy-four billion, eight hundred fifty-two million, eight hundred forty-six thousand, eight hundred eighty".