6242724440 has 64 divisors (see below), whose sum is σ = 14596243200. Its totient is φ = 2400072192.

The previous prime is 6242724427. The next prime is 6242724443. The reversal of 6242724440 is 444272426.

6242724440 = 179³ + 180³ + ... + 401³.

It is a self number, because there is not a number n which added to its sum of digits gives 6242724440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6242724443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246614 + ... + 270746.

It is an arithmetic number, because the mean of its divisors is an integer number (228066300).

Almost surely, 2^6242724440 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 6242724440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7298121600).

6242724440 is an abundant number, since it is smaller than the sum of its proper divisors (8353518760).

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

6242724440 is a wasteful number, since it uses less digits than its factorization.

6242724440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24396 (or 24392 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 35.

The square root of 6242724440 is about 79010.9134233999. The cubic root of 6242724440 is about 1841.3007146680.

Adding to 6242724440 its reverse (444272426), we get a palindrome (6686996866).

The spelling of 6242724440 in words is "six billion, two hundred forty-two million, seven hundred twenty-four thousand, four hundred forty".