6533567040 has 672 divisors, whose sum is σ = 28058766336. Its totient is φ = 1250795520.

The previous prime is 6533567023. The next prime is 6533567057. The reversal of 6533567040 is 407653356.

It is an interprime number because it is at equal distance from previous prime (6533567023) and next prime (6533567057).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 6533567040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12492219 + ... + 12492741.

Almost surely, 2^6533567040 is an apocalyptic number.

6533567040 is a gapful number since it is divisible by the number (60) 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 6533567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14029383168).

6533567040 is an abundant number, since it is smaller than the sum of its proper divisors (21525199296).

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

6533567040 is a wasteful number, since it uses less digits than its factorization.

6533567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 39.

The square root of 6533567040 is about 80830.4833586933. The cubic root of 6533567040 is about 1869.4626116526.

6533567040 divided by its sum of digits (39) gives a triangular number (167527360 = T₁₈₃₀₄).

The spelling of 6533567040 in words is "six billion, five hundred thirty-three million, five hundred sixty-seven thousand, forty".