67687872104664 has 96 divisors (see below), whose sum is σ = 220536926688000. Its totient is φ = 18321529288896.

The previous prime is 67687872104663. The next prime is 67687872104717. The reversal of 67687872104664 is 46640127878676.

67687872104664 is a `hidden beast` number, since 6 + 7 + 6 + 87 + 8 + 72 + 10 + 466 + 4 = 666.

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 = 67687872104592 and 67687872104601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67687872104663) 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, 3534236044 + ... + 3534255195.

It is an arithmetic number, because the mean of its divisors is an integer number (2297259653000).

Almost surely, 2^{67687872104664} is an apocalyptic number.

It is an amenable number.

67687872104664 is an abundant number, since it is smaller than the sum of its proper divisors (152849054583336).

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

67687872104664 is a wasteful number, since it uses less digits than its factorization.

67687872104664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068491277 (or 7068491270 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 72.

The spelling of 67687872104664 in words is "sixty-seven trillion, six hundred eighty-seven billion, eight hundred seventy-two million, one hundred four thousand, six hundred sixty-four".