6515562240 has 720 divisors, whose sum is σ = 26443882080. Its totient is φ = 1517322240.

The previous prime is 6515562233. The next prime is 6515562253. The reversal of 6515562240 is 422655156.

6515562240 is a `hidden beast` number, since 6 + 51 + 5 + 562 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 6515562195 and 6515562204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33073822 + ... + 33074018.

It is an arithmetic number, because the mean of its divisors is an integer number (36727614).

Almost surely, 2^6515562240 is an apocalyptic number.

6515562240 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 6515562240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13221941040).

6515562240 is an abundant number, since it is smaller than the sum of its proper divisors (19928319840).

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

6515562240 is a wasteful number, since it uses less digits than its factorization.

6515562240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 6515562240 is about 80719.0326998534. The cubic root of 6515562240 is about 1867.7437819850.

It can be divided in two parts, 651556 and 2240, that added together give a triangular number (653796 = T₁₁₄₃).

The spelling of 6515562240 in words is "six billion, five hundred fifteen million, five hundred sixty-two thousand, two hundred forty".