6509467791360 has 832 divisors, whose sum is σ = 24566473411200. Its totient is φ = 1629537435648.

The previous prime is 6509467791353. The next prime is 6509467791389. The reversal of 6509467791360 is 631977649056.

6509467791360 is a `hidden beast` number, since 6 + 50 + 9 + 467 + 7 + 91 + 36 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5348781472 + ... + 5348782688.

Almost surely, 2^{6509467791360} is an apocalyptic number.

6509467791360 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 6509467791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12283236705600).

6509467791360 is an abundant number, since it is smaller than the sum of its proper divisors (18057005619840).

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

6509467791360 is a wasteful number, since it uses less digits than its factorization.

6509467791360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 6509467791360 in words is "six trillion, five hundred nine billion, four hundred sixty-seven million, seven hundred ninety-one thousand, three hundred sixty".