6687414066816 has 192 divisors, whose sum is σ = 23286531602880. Its totient is φ = 1798296182784.

The previous prime is 6687414066791. The next prime is 6687414066821. The reversal of 6687414066816 is 6186604147866.

It is a happy number.

6687414066816 is a `hidden beast` number, since 6 + 6 + 87 + 414 + 0 + 66 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×6687414066816² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24253866 + ... + 24528041.

It is an arithmetic number, because the mean of its divisors is an integer number (121284018765).

Almost surely, 2^{6687414066816} is an apocalyptic number.

It is an amenable number.

6687414066816 is an abundant number, since it is smaller than the sum of its proper divisors (16599117536064).

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

6687414066816 is a wasteful number, since it uses less digits than its factorization.

6687414066816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48781951 (or 48781936 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 6687414066816 in words is "six trillion, six hundred eighty-seven billion, four hundred fourteen million, sixty-six thousand, eight hundred sixteen".