6513834240 has 288 divisors, whose sum is σ = 24476981760. Its totient is φ = 1634697216.

The previous prime is 6513834221. The next prime is 6513834253. The reversal of 6513834240 is 424383156.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 6513834195 and 6513834204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581977 + ... + 593063.

It is an arithmetic number, because the mean of its divisors is an integer number (84989520).

Almost surely, 2^6513834240 is an apocalyptic number.

6513834240 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 6513834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12238490880).

6513834240 is an abundant number, since it is smaller than the sum of its proper divisors (17963147520).

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

6513834240 is a wasteful number, since it uses less digits than its factorization.

6513834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11134 (or 11114 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6513834240 is about 80708.3281948028. The cubic root of 6513834240 is about 1867.5786518704.

The spelling of 6513834240 in words is "six billion, five hundred thirteen million, eight hundred thirty-four thousand, two hundred forty".