6519324240 has 480 divisors, whose sum is σ = 26849781504. Its totient is φ = 1394933760.

The previous prime is 6519324209. The next prime is 6519324293. The reversal of 6519324240 is 424239156.

It is a happy number.

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 = 6519324195 and 6519324204.

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, 2366704 + ... + 2369456.

Almost surely, 2^6519324240 is an apocalyptic number.

6519324240 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 6519324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13424890752).

6519324240 is an abundant number, since it is smaller than the sum of its proper divisors (20330457264).

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

6519324240 is a wasteful number, since it uses less digits than its factorization.

6519324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6519324240 is about 80742.3323913794. The cubic root of 6519324240 is about 1868.1031830597.

The spelling of 6519324240 in words is "six billion, five hundred nineteen million, three hundred twenty-four thousand, two hundred forty".