6505964336600 has 96 divisors (see below), whose sum is σ = 15480372853440. Its totient is φ = 2541498960000.

The previous prime is 6505964336567. The next prime is 6505964336603. The reversal of 6505964336600 is 66334695056.

It is a super-2 number, since 2×6505964336600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6505964336603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64027835 + ... + 64129365.

It is an arithmetic number, because the mean of its divisors is an integer number (161253883890).

Almost surely, 2^{6505964336600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6505964336600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7740186426720).

6505964336600 is an abundant number, since it is smaller than the sum of its proper divisors (8974408516840).

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

6505964336600 is a wasteful number, since it uses less digits than its factorization.

6505964336600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109041 (or 109032 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 53.

The spelling of 6505964336600 in words is "six trillion, five hundred five billion, nine hundred sixty-four million, three hundred thirty-six thousand, six hundred".