534105427968 has 312 divisors, whose sum is σ = 1792137853376. Its totient is φ = 150095462400.

The previous prime is 534105427963. The next prime is 534105427987. The reversal of 534105427968 is 869724501435.

It is a happy number.

534105427968 is a `hidden beast` number, since 5 + 3 + 4 + 1 + 0 + 542 + 7 + 96 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (534105427963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15723963 + ... + 15757893.

It is a 1-persistent number, because it is pandigital, but 2⋅534105427968 = 1068210855936 is not.

Almost surely, 2^534105427968 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 534105427968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896068926688).

534105427968 is an abundant number, since it is smaller than the sum of its proper divisors (1258032425408).

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

534105427968 is a wasteful number, since it uses less digits than its factorization.

534105427968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34029 (or 34004 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 534105427968 in words is "five hundred thirty-four billion, one hundred five million, four hundred twenty-seven thousand, nine hundred sixty-eight".