6506514240 has 168 divisors, whose sum is σ = 21397752480. Its totient is φ = 1675032576.

The previous prime is 6506514239. The next prime is 6506514241. The reversal of 6506514240 is 424156056.

It is an interprime number because it is at equal distance from previous prime (6506514239) and next prime (6506514241).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6506514241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 803331 + ... + 811389.

Almost surely, 2^6506514240 is an apocalyptic number.

6506514240 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 6506514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10698876240).

6506514240 is an abundant number, since it is smaller than the sum of its proper divisors (14891238240).

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

6506514240 is a wasteful number, since it uses less digits than its factorization.

6506514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8137 (or 8098 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 6506514240 is about 80662.9669675000. The cubic root of 6506514240 is about 1866.8788182911.

The spelling of 6506514240 in words is "six billion, five hundred six million, five hundred fourteen thousand, two hundred forty".