6463761984 has 112 divisors (see below), whose sum is σ = 19098768000. Its totient is φ = 2143646208.

The previous prime is 6463761961. The next prime is 6463762009. The reversal of 6463761984 is 4891673646.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6463761984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334474 + ... + 353270.

Almost surely, 2^6463761984 is an apocalyptic number.

6463761984 is a gapful number since it is divisible by the number (64) 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 6463761984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9549384000).

6463761984 is an abundant number, since it is smaller than the sum of its proper divisors (12635006016).

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

6463761984 is a wasteful number, since it uses less digits than its factorization.

6463761984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19017 (or 19001 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 6463761984 is about 80397.5247380167. The cubic root of 6463761984 is about 1862.7809389223.

It can be divided in two parts, 64637 and 61984, that added together give a palindrome (126621).

The spelling of 6463761984 in words is "six billion, four hundred sixty-three million, seven hundred sixty-one thousand, nine hundred eighty-four".