534829920768 has 960 divisors, whose sum is σ = 1963836306432. Its totient is φ = 142988820480.

The previous prime is 534829920721. The next prime is 534829920829. The reversal of 534829920768 is 867029928435.

534829920768 is a `hidden beast` number, since 5 + 3 + 482 + 9 + 92 + 0 + 7 + 68 = 666.

It is a super-4 number, since 4×534829920768⁴ (a number of 48 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 409203571 + ... + 409204877.

Almost surely, 2^534829920768 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 534829920768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981918153216).

534829920768 is an abundant number, since it is smaller than the sum of its proper divisors (1429006385664).

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

534829920768 is a wasteful number, since it uses less digits than its factorization.

534829920768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 534829920768 in words is "five hundred thirty-four billion, eight hundred twenty-nine million, nine hundred twenty thousand, seven hundred sixty-eight".