6279366240 has 480 divisors, whose sum is σ = 26667083520. Its totient is φ = 1359369216.

The previous prime is 6279366227. The next prime is 6279366241. The reversal of 6279366240 is 426639726.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6279366241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1721859 + ... + 1725501.

It is an arithmetic number, because the mean of its divisors is an integer number (55556424).

Almost surely, 2^6279366240 is an apocalyptic number.

6279366240 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 6279366240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13333541760).

6279366240 is an abundant number, since it is smaller than the sum of its proper divisors (20387717280).

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

6279366240 is a wasteful number, since it uses less digits than its factorization.

6279366240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 6279366240 is about 79242.4522588745. The cubic root of 6279366240 is about 1844.8962067329.

The spelling of 6279366240 in words is "six billion, two hundred seventy-nine million, three hundred sixty-six thousand, two hundred forty".