67679059968 has 384 divisors, whose sum is σ = 213738470400. Its totient is φ = 20511719424.

The previous prime is 67679059951. The next prime is 67679059997. The reversal of 67679059968 is 86995097676.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×67679059968² (a number of 22 digits) contains 22 as substring.

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 = 67679059896 and 67679059905.

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, 486899643 + ... + 486899781.

It is an arithmetic number, because the mean of its divisors is an integer number (556610600).

Almost surely, 2^67679059968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67679059968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106869235200).

67679059968 is an abundant number, since it is smaller than the sum of its proper divisors (146059410432).

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

67679059968 is a wasteful number, since it uses less digits than its factorization.

67679059968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 67679059968 in words is "sixty-seven billion, six hundred seventy-nine million, fifty-nine thousand, nine hundred sixty-eight".