6465953894976 has 105 divisors (see below), whose sum is σ = 19167655676169. Its totient is φ = 2155256937216.

The previous prime is 6465953894971. The next prime is 6465953895017. The reversal of 6465953894976 is 6794983595646.

The square root of 6465953894976 is 2542824.

It is a perfect power (a square), and thus also a powerful number.

6465953894976 is a `hidden beast` number, since 6 + 4 + 6 + 5 + 9 + 538 + 9 + 4 + 9 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3301198286400 + 3164755608576 = 1816920^2 + 1778976^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 6465953894895 and 6465953894904.

It is not an unprimeable number, because it can be changed into a prime (6465953894971) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 183065670 + ... + 183100986.

Almost surely, 2^{6465953894976} is an apocalyptic number.

6465953894976 is the 2542824-th square number.

It is an amenable number.

6465953894976 is an abundant number, since it is smaller than the sum of its proper divisors (12701701781193).

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

6465953894976 is an frugal number, since it uses more digits than its factorization.

6465953894976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70658 (or 35322 counting only the distinct ones).

The product of its digits is 10581580800, while the sum is 81.

Multiplying 6465953894976 by its sum of digits (81), we get a square (523742265493056 = 22885416²).

6465953894976 divided by its sum of digits (81) gives a square (79826591296 = 282536²).

The spelling of 6465953894976 in words is "six trillion, four hundred sixty-five billion, nine hundred fifty-three million, eight hundred ninety-four thousand, nine hundred seventy-six".