534133716480 has 640 divisors, whose sum is σ = 2335150540800. Its totient is φ = 112695017472.

The previous prime is 534133716469. The next prime is 534133716481. The reversal of 534133716480 is 84617331435.

534133716480 is a `hidden beast` number, since 5 + 34 + 133 + 7 + 1 + 6 + 480 = 666.

534133716480 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534133716481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6247461 + ... + 6332379.

It is an arithmetic number, because the mean of its divisors is an integer number (3648672720).

Almost surely, 2^534133716480 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 534133716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167575270400).

534133716480 is an abundant number, since it is smaller than the sum of its proper divisors (1801016824320).

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

534133716480 is a wasteful number, since it uses less digits than its factorization.

534133716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84971 (or 84949 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 534133716480 in words is "five hundred thirty-four billion, one hundred thirty-three million, seven hundred sixteen thousand, four hundred eighty".