6002722440 has 768 divisors, whose sum is σ = 25615699200. Its totient is φ = 1197711360.

The previous prime is 6002722409. The next prime is 6002722463. The reversal of 6002722440 is 442272006.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 315932751 + ... + 315932769.

It is an arithmetic number, because the mean of its divisors is an integer number (33353775).

Almost surely, 2^6002722440 is an apocalyptic number.

6002722440 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 6002722440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12807849600).

6002722440 is an abundant number, since it is smaller than the sum of its proper divisors (19612976760).

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

6002722440 is a wasteful number, since it uses less digits than its factorization.

6002722440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 6002722440 is about 77477.2382058111. The cubic root of 6002722440 is about 1817.3953847076.

Adding to 6002722440 its reverse (442272006), we get a palindrome (6444994446).

The spelling of 6002722440 in words is "six billion, two million, seven hundred twenty-two thousand, four hundred forty".