6363956047680 has 1344 divisors, whose sum is σ = 28263372480000. Its totient is φ = 1319526236160.

The previous prime is 6363956047621. The next prime is 6363956047711. The reversal of 6363956047680 is 867406593636.

It is a happy number.

6363956047680 is a `hidden beast` number, since 6 + 3 + 6 + 3 + 9 + 560 + 4 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6066687796 + ... + 6066688844.

It is an arithmetic number, because the mean of its divisors is an integer number (21029295000).

Almost surely, 2^{6363956047680} is an apocalyptic number.

6363956047680 is a gapful number since it is divisible by the number (60) 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 6363956047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14131686240000).

6363956047680 is an abundant number, since it is smaller than the sum of its proper divisors (21899416432320).

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

6363956047680 is a wasteful number, since it uses less digits than its factorization.

6363956047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 6363956047680 in words is "six trillion, three hundred sixty-three billion, nine hundred fifty-six million, forty-seven thousand, six hundred eighty".