533742669250560 has 6720 divisors, whose sum is σ = 2599260886656000. Its totient is φ = 101819665612800.

The previous prime is 533742669250523. The next prime is 533742669250573. The reversal of 533742669250560 is 65052966247335.

533742669250560 is a `hidden beast` number, since 5 + 3 + 3 + 7 + 4 + 2 + 6 + 69 + 2 + 5 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 3582165565366 + ... + 3582165565514.

It is an arithmetic number, because the mean of its divisors is an integer number (386794774800).

Almost surely, 2^{533742669250560} 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 533742669250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299630443328000).

533742669250560 is an abundant number, since it is smaller than the sum of its proper divisors (2065518217405440).

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

533742669250560 is a wasteful number, since it uses less digits than its factorization.

533742669250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 244944000, while the sum is 63.

The spelling of 533742669250560 in words is "five hundred thirty-three trillion, seven hundred forty-two billion, six hundred sixty-nine million, two hundred fifty thousand, five hundred sixty".