534263019264 has 864 divisors, whose sum is σ = 1801923422208. Its totient is φ = 156764160000.

The previous prime is 534263019239. The next prime is 534263019287. The reversal of 534263019264 is 462910362435.

534263019264 is a `hidden beast` number, since 5 + 3 + 4 + 2 + 630 + 1 + 9 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 2532052119 + ... + 2532052329.

Almost surely, 2^534263019264 is an apocalyptic number.

534263019264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534263019264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900961711104).

534263019264 is an abundant number, since it is smaller than the sum of its proper divisors (1267660402944).

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

534263019264 is a wasteful number, since it uses less digits than its factorization.

534263019264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 534263019264 in words is "five hundred thirty-four billion, two hundred sixty-three million, nineteen thousand, two hundred sixty-four".