66075345610272 has 72 divisors (see below), whose sum is σ = 187903134042624. Its totient is φ = 22024954621824.

The previous prime is 66075345610231. The next prime is 66075345610387. The reversal of 66075345610272 is 27201654357066.

66075345610272 is a `hidden beast` number, since 6 + 6 + 0 + 7 + 5 + 3 + 4 + 561 + 0 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×66075345610272² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42652993 + ... + 44174975.

It is an arithmetic number, because the mean of its divisors is an integer number (2609765750592).

Almost surely, 2^{66075345610272} is an apocalyptic number.

It is an amenable number.

66075345610272 is an abundant number, since it is smaller than the sum of its proper divisors (121827788432352).

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

66075345610272 is a wasteful number, since it uses less digits than its factorization.

66075345610272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672742 (or 1672731 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 66075345610272 in words is "sixty-six trillion, seventy-five billion, three hundred forty-five million, six hundred ten thousand, two hundred seventy-two".