6507487560 has 256 divisors, whose sum is σ = 23179622400. Its totient is φ = 1430618112.

The previous prime is 6507487559. The next prime is 6507487607. The reversal of 6507487560 is 657847056.

It is a Cunningham number, because it is equal to 80669²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2418696 + ... + 2421384.

It is an arithmetic number, because the mean of its divisors is an integer number (90545400).

Almost surely, 2^6507487560 is an apocalyptic number.

6507487560 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 6507487560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11589811200).

6507487560 is an abundant number, since it is smaller than the sum of its proper divisors (16672134840).

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

6507487560 is a wasteful number, since it uses less digits than its factorization.

6507487560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The square root of 6507487560 is about 80668.9999938018. Note that the first 5 decimals coincide. The cubic root of 6507487560 is about 1866.9719034581.

The spelling of 6507487560 in words is "six billion, five hundred seven million, four hundred eighty-seven thousand, five hundred sixty".