6465650688000 has 2016 divisors, whose sum is σ = 28580309372160. Its totient is φ = 1426902220800.

The previous prime is 6465650687963. The next prime is 6465650688017. The reversal of 6465650688000 is 8860565646.

It is a happy number.

6465650688000 is a `hidden beast` number, since 6 + 4 + 6 + 56 + 506 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 222953471986 + ... + 222953472014.

It is an arithmetic number, because the mean of its divisors is an integer number (14176740760).

Almost surely, 2^{6465650688000} is an apocalyptic number.

6465650688000 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 6465650688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14290154686080).

6465650688000 is an abundant number, since it is smaller than the sum of its proper divisors (22114658684160).

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

6465650688000 is an frugal number, since it uses more digits than its factorization.

6465650688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 6465650688000 in words is "six trillion, four hundred sixty-five billion, six hundred fifty million, six hundred eighty-eight thousand".