67488934968 has 320 divisors, whose sum is σ = 233263800000. Its totient is φ = 17752670208.

The previous prime is 67488934921. The next prime is 67488934973. The reversal of 67488934968 is 86943988476.

67488934968 is a `hidden beast` number, since 6 + 7 + 48 + 8 + 93 + 496 + 8 = 666.

It is a super-2 number, since 2×67488934968² (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 nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 67488934896 and 67488934905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26475358 + ... + 26477906.

It is an arithmetic number, because the mean of its divisors is an integer number (728949375).

Almost surely, 2^67488934968 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 67488934968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116631900000).

67488934968 is an abundant number, since it is smaller than the sum of its proper divisors (165774865032).

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

67488934968 is a wasteful number, since it uses less digits than its factorization.

67488934968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 3023 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 67488934968 in words is "sixty-seven billion, four hundred eighty-eight million, nine hundred thirty-four thousand, nine hundred sixty-eight".