66736740672 has 112 divisors (see below), whose sum is σ = 224221365120. Its totient is φ = 19067636736.

The previous prime is 66736740667. The next prime is 66736740677. The reversal of 66736740672 is 27604763766.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66736740667) and next prime (66736740677).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×66736740672³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66736740677) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2746533 + ... + 2770724.

Almost surely, 2^66736740672 is an apocalyptic number.

It is an amenable number.

66736740672 is an abundant number, since it is smaller than the sum of its proper divisors (157484624448).

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

66736740672 is a wasteful number, since it uses less digits than its factorization.

66736740672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5517285 (or 5517269 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 66736740672 in words is "sixty-six billion, seven hundred thirty-six million, seven hundred forty thousand, six hundred seventy-two".