67121794608 has 320 divisors, whose sum is σ = 209986560000. Its totient is φ = 18235514880.

The previous prime is 67121794601. The next prime is 67121794633. The reversal of 67121794608 is 80649712176.

It is a super-2 number, since 2×67121794608² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67121794601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22379893 + ... + 22382891.

It is an arithmetic number, because the mean of its divisors is an integer number (656208000).

Almost surely, 2^67121794608 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 67121794608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280000).

67121794608 is an abundant number, since it is smaller than the sum of its proper divisors (142864765392).

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

67121794608 is a wasteful number, since it uses less digits than its factorization.

67121794608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 67121794608 in words is "sixty-seven billion, one hundred twenty-one million, seven hundred ninety-four thousand, six hundred eight".