67696985664 has 1008 divisors, whose sum is σ = 260729089920. Its totient is φ = 16582164480.

The previous prime is 67696985611. The next prime is 67696985677. The reversal of 67696985664 is 46658969676.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 67696985592 and 67696985601.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 657252237 + ... + 657252339.

Almost surely, 2^67696985664 is an apocalyptic number.

67696985664 is a gapful number since it is divisible by the number (64) 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 67696985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130364544960).

67696985664 is an abundant number, since it is smaller than the sum of its proper divisors (193032104256).

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

67696985664 is a wasteful number, since it uses less digits than its factorization.

67696985664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 228 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 67696985664 in words is "sixty-seven billion, six hundred ninety-six million, nine hundred eighty-five thousand, six hundred sixty-four".