34126064779968 has 1176 divisors, whose sum is σ = 120231036601200. Its totient is φ = 9576659828736.

The previous prime is 34126064779967. The next prime is 34126064779979. The reversal of 34126064779968 is 86997746062143.

It is a happy number.

34126064779968 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 6 + 0 + 6 + 477 + 99 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

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 = 34126064779896 and 34126064779905.

It is not an unprimeable number, because it can be changed into a prime (34126064779967) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 36420559596 + ... + 36420560532.

Almost surely, 2^{34126064779968} 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 34126064779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60115518300600).

34126064779968 is an abundant number, since it is smaller than the sum of its proper divisors (86104971821232).

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

34126064779968 is an equidigital number, since it uses as much as digits as its factorization.

34126064779968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 34126064779968 in words is "thirty-four trillion, one hundred twenty-six billion, sixty-four million, seven hundred seventy-nine thousand, nine hundred sixty-eight".