533305534464 has 480 divisors, whose sum is σ = 1745073930600. Its totient is φ = 161517404160.

The previous prime is 533305534459. The next prime is 533305534483. The reversal of 533305534464 is 464435503335.

533305534464 is a `hidden beast` number, since 5 + 3 + 3 + 30 + 553 + 4 + 4 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 533016806400 + 288728064 = 730080^2 + 16992^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81779524 + ... + 81786044.

Almost surely, 2^533305534464 is an apocalyptic number.

533305534464 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 533305534464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872536965300).

533305534464 is an abundant number, since it is smaller than the sum of its proper divisors (1211768396136).

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

533305534464 is a wasteful number, since it uses less digits than its factorization.

533305534464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6601 (or 6572 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 45.

The spelling of 533305534464 in words is "five hundred thirty-three billion, three hundred five million, five hundred thirty-four thousand, four hundred sixty-four".