533744640 has 616 divisors, whose sum is σ = 2255269968. Its totient is φ = 119439360.

The previous prime is 533744611. The next prime is 533744657. The reversal of 533744640 is 46447335.

It is a happy number.

533744640 is a `hidden beast` number, since 5 + 3 + 3 + 7 + 4 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 533744595 and 533744604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 41057274 + ... + 41057286.

Almost surely, 2^533744640 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 533744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127634984).

533744640 is an abundant number, since it is smaller than the sum of its proper divisors (1721525328).

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

533744640 is a wasteful number, since it uses less digits than its factorization.

533744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 533744640 is about 23102.9141019050. The cubic root of 533744640 is about 811.1686833609.

The spelling of 533744640 in words is "five hundred thirty-three million, seven hundred forty-four thousand, six hundred forty".