63796800672 has 576 divisors, whose sum is σ = 213155324928. Its totient is φ = 17915904000.

The previous prime is 63796800659. The next prime is 63796800679. The reversal of 63796800672 is 27600869736.

It is not an unprimeable number, because it can be changed into a prime (63796800679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352468422 + ... + 352468602.

It is an arithmetic number, because the mean of its divisors is an integer number (370061328).

Almost surely, 2^63796800672 is an apocalyptic number.

63796800672 is a gapful number since it is divisible by the number (62) 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 63796800672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106577662464).

63796800672 is an abundant number, since it is smaller than the sum of its proper divisors (149358524256).

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

63796800672 is a wasteful number, since it uses less digits than its factorization.

63796800672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

It can be divided in two parts, 63796 and 800672, that added together give a palindrome (864468).

The spelling of 63796800672 in words is "sixty-three billion, seven hundred ninety-six million, eight hundred thousand, six hundred seventy-two".