6488307840 has 512 divisors, whose sum is σ = 24644505600. Its totient is φ = 1421328384.

The previous prime is 6488307829. The next prime is 6488307857. The reversal of 6488307840 is 487038846.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6488307840.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59525706 + ... + 59525814.

It is an arithmetic number, because the mean of its divisors is an integer number (48133800).

Almost surely, 2^6488307840 is an apocalyptic number.

6488307840 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 6488307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12322252800).

6488307840 is an abundant number, since it is smaller than the sum of its proper divisors (18156197760).

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

6488307840 is a wasteful number, since it uses less digits than its factorization.

6488307840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 6488307840 is about 80550.0331471068. The cubic root of 6488307840 is about 1865.1359037688.

The spelling of 6488307840 in words is "six billion, four hundred eighty-eight million, three hundred seven thousand, eight hundred forty".