67134307968 has 768 divisors, whose sum is σ = 248769480960. Its totient is φ = 16907304960.

The previous prime is 67134307967. The next prime is 67134307969. The reversal of 67134307968 is 86970343176.

It is an interprime number because it is at equal distance from previous prime (67134307967) and next prime (67134307969).

It is not an unprimeable number, because it can be changed into a prime (67134307967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 238911988 + ... + 238912268.

It is an arithmetic number, because the mean of its divisors is an integer number (323918595).

Almost surely, 2^67134307968 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 67134307968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124384740480).

67134307968 is an abundant number, since it is smaller than the sum of its proper divisors (181635172992).

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

67134307968 is a wasteful number, since it uses less digits than its factorization.

67134307968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 67134307968 in words is "sixty-seven billion, one hundred thirty-four million, three hundred seven thousand, nine hundred sixty-eight".