646267963392 has 576 divisors, whose sum is σ = 2039972014080. Its totient is φ = 204009062400.

The previous prime is 646267963391. The next prime is 646267963417. The reversal of 646267963392 is 293369762646.

It is a happy number.

646267963392 is a `hidden beast` number, since 64 + 62 + 6 + 79 + 63 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (646267963391) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1499461417 + ... + 1499461847.

It is an arithmetic number, because the mean of its divisors is an integer number (3541618080).

Almost surely, 2^646267963392 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 646267963392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019986007040).

646267963392 is an abundant number, since it is smaller than the sum of its proper divisors (1393704050688).

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

646267963392 is a wasteful number, since it uses less digits than its factorization.

646267963392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 590 counting only the distinct ones).

The product of its digits is 105815808, while the sum is 63.

The spelling of 646267963392 in words is "six hundred forty-six billion, two hundred sixty-seven million, nine hundred sixty-three thousand, three hundred ninety-two".