6463347028992 has 704 divisors, whose sum is σ = 22690192576000. Its totient is φ = 1816234721280.

The previous prime is 6463347028973. The next prime is 6463347028993. The reversal of 6463347028992 is 2998207433646.

6463347028992 is a `hidden beast` number, since 6 + 4 + 6 + 3 + 347 + 0 + 289 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6463347028993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 578473518 + ... + 578484690.

Almost surely, 2^{6463347028992} 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 6463347028992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11345096288000).

6463347028992 is an abundant number, since it is smaller than the sum of its proper divisors (16226845547008).

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

6463347028992 is a wasteful number, since it uses less digits than its factorization.

6463347028992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11284 (or 11246 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 6463347028992 in words is "six trillion, four hundred sixty-three billion, three hundred forty-seven million, twenty-eight thousand, nine hundred ninety-two".