67679093664 has 144 divisors (see below), whose sum is σ = 236876919552. Its totient is φ = 17849424384.

The previous prime is 67679093633. The next prime is 67679093711. The reversal of 67679093664 is 46639097676.

67679093664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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, 1264984 + ... + 1317399.

It is an arithmetic number, because the mean of its divisors is an integer number (1644978608).

Almost surely, 2^67679093664 is an apocalyptic number.

It is an amenable number.

67679093664 is an abundant number, since it is smaller than the sum of its proper divisors (169197825888).

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

67679093664 is a wasteful number, since it uses less digits than its factorization.

67679093664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582419 (or 2582408 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 67679093664 in words is "sixty-seven billion, six hundred seventy-nine million, ninety-three thousand, six hundred sixty-four".