6513940224 has 216 divisors, whose sum is σ = 21152162304. Its totient is φ = 1910016000.

The previous prime is 6513940217. The next prime is 6513940267. The reversal of 6513940224 is 4220493156.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 781519 + ... + 789809.

Almost surely, 2^6513940224 is an apocalyptic number.

6513940224 is a gapful number since it is divisible by the number (64) 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 6513940224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10576081152).

6513940224 is an abundant number, since it is smaller than the sum of its proper divisors (14638222080).

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

6513940224 is a wasteful number, since it uses less digits than its factorization.

6513940224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8355 (or 8338 counting only the distinct ones).

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

The square root of 6513940224 is about 80708.9847786478. The cubic root of 6513940224 is about 1867.5887806914.

The spelling of 6513940224 in words is "six billion, five hundred thirteen million, nine hundred forty thousand, two hundred twenty-four".