667780916001 has 48 divisors (see below), whose sum is σ = 980613603840. Its totient is φ = 403709276160.

The previous prime is 667780915979. The next prime is 667780916003. The reversal of 667780916001 is 100619087766.

It is not a de Polignac number, because 667780916001 - 2⁵ = 667780915969 is a prime.

It is a super-3 number, since 3×667780916001³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (667780916003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6100585 + ... + 6209081.

It is an arithmetic number, because the mean of its divisors is an integer number (20429450080).

Almost surely, 2^667780916001 is an apocalyptic number.

It is an amenable number.

667780916001 is a deficient number, since it is larger than the sum of its proper divisors (312832687839).

667780916001 is a wasteful number, since it uses less digits than its factorization.

667780916001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108794 (or 108777 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The spelling of 667780916001 in words is "six hundred sixty-seven billion, seven hundred eighty million, nine hundred sixteen thousand, one".