6240864024 has 224 divisors, whose sum is σ = 18081979920. Its totient is φ = 2017778688.

The previous prime is 6240864001. The next prime is 6240864029. The reversal of 6240864024 is 4204680426.

It is a happy number.

6240864024 is a `hidden beast` number, since 6 + 2 + 4 + 0 + 8 + 640 + 2 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6240864024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6240864029) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 45553684 + ... + 45553820.

Almost surely, 2^6240864024 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 6240864024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9040989960).

6240864024 is an abundant number, since it is smaller than the sum of its proper divisors (11841115896).

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

6240864024 is a wasteful number, since it uses less digits than its factorization.

6240864024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 6240864024 is about 78999.1393877174. The cubic root of 6240864024 is about 1841.1177856872.

The spelling of 6240864024 in words is "six billion, two hundred forty million, eight hundred sixty-four thousand, twenty-four".