67867683840 has 1408 divisors, whose sum is σ = 290051712000. Its totient is φ = 15049359360.

The previous prime is 67867683743. The next prime is 67867683857. The reversal of 67867683840 is 4838676876.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2340264946 + ... + 2340264974.

Almost surely, 2^67867683840 is an apocalyptic number.

67867683840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67867683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145025856000).

67867683840 is an abundant number, since it is smaller than the sum of its proper divisors (222184028160).

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

67867683840 is a wasteful number, since it uses less digits than its factorization.

67867683840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 67867683840 in words is "sixty-seven billion, eight hundred sixty-seven million, six hundred eighty-three thousand, eight hundred forty".