6512257440 has 240 divisors, whose sum is σ = 24751393128. Its totient is φ = 1602975744.

The previous prime is 6512257417. The next prime is 6512257489. The reversal of 6512257440 is 447522156.

It is a happy number.

6512257440 is a `hidden beast` number, since 65 + 1 + 22 + 574 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2493204624 + 4019052816 = 49932^2 + 63396^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 6512257395 and 6512257404.

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 39 ways as a sum of consecutive naturals, for example, 149154 + ... + 187806.

Almost surely, 2^6512257440 is an apocalyptic number.

6512257440 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 6512257440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12375696564).

6512257440 is an abundant number, since it is smaller than the sum of its proper divisors (18239135688).

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

6512257440 is a wasteful number, since it uses less digits than its factorization.

6512257440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38693 (or 38676 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 6512257440 is about 80698.5590949430. The cubic root of 6512257440 is about 1867.4279451562.

Adding to 6512257440 its reverse (447522156), we get a palindrome (6959779596).

The spelling of 6512257440 in words is "six billion, five hundred twelve million, two hundred fifty-seven thousand, four hundred forty".