6488022240 has 576 divisors, whose sum is σ = 27122135040. Its totient is φ = 1433272320.

The previous prime is 6488022223. The next prime is 6488022253. The reversal of 6488022240 is 422208846.

It is a happy number.

6488022240 is a `hidden beast` number, since 648 + 8 + 0 + 2 + 2 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6488022195 and 6488022204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8436576 + ... + 8437344.

It is an arithmetic number, because the mean of its divisors is an integer number (47087040).

Almost surely, 2^6488022240 is an apocalyptic number.

6488022240 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 6488022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561067520).

6488022240 is an abundant number, since it is smaller than the sum of its proper divisors (20634112800).

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

6488022240 is a wasteful number, since it uses less digits than its factorization.

6488022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 6488022240 is about 80548.2603164091. The cubic root of 6488022240 is about 1865.1085370736.

The spelling of 6488022240 in words is "six billion, four hundred eighty-eight million, twenty-two thousand, two hundred forty".