6465465736992 has 144 divisors (see below), whose sum is σ = 19876939205760. Its totient is φ = 1986544175616.

The previous prime is 6465465736969. The next prime is 6465465737009. The reversal of 6465465736992 is 2996375645646.

6465465736992 is a `hidden beast` number, since 6 + 4 + 6 + 5 + 46 + 573 + 6 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 6465465736992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15764488 + ... + 16169415.

It is an arithmetic number, because the mean of its divisors is an integer number (138034300040).

Almost surely, 2^{6465465736992} is an apocalyptic number.

It is an amenable number.

6465465736992 is an abundant number, since it is smaller than the sum of its proper divisors (13411473468768).

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

6465465736992 is a wasteful number, since it uses less digits than its factorization.

6465465736992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31933975 (or 31933964 counting only the distinct ones).

The product of its digits is 1763596800, while the sum is 72.

The spelling of 6465465736992 in words is "six trillion, four hundred sixty-five billion, four hundred sixty-five million, seven hundred thirty-six thousand, nine hundred ninety-two".