6463521792 has 528 divisors, whose sum is σ = 24045208320. Its totient is φ = 1700020224.

The previous prime is 6463521781. The next prime is 6463521797. The reversal of 6463521792 is 2971253646.

6463521792 is a `hidden beast` number, since 6 + 4 + 635 + 2 + 1 + 7 + 9 + 2 = 666.

It is a super-2 number, since 2×6463521792² = 83554227911317782528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6463521797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17611593 + ... + 17611959.

Almost surely, 2^6463521792 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 6463521792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12022604160).

6463521792 is an abundant number, since it is smaller than the sum of its proper divisors (17581686528).

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

6463521792 is a wasteful number, since it uses less digits than its factorization.

6463521792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 392 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 6463521792 is about 80396.0309468073. The cubic root of 6463521792 is about 1862.7578651239.

The spelling of 6463521792 in words is "six billion, four hundred sixty-three million, five hundred twenty-one thousand, seven hundred ninety-two".