63882796225248 has 1728 divisors, whose sum is σ = 255278985841152. Its totient is φ = 15260050391040.

The previous prime is 63882796225243. The next prime is 63882796225277. The reversal of 63882796225248 is 84252269728836.

63882796225248 is a `hidden beast` number, since 6 + 3 + 8 + 8 + 2 + 7 + 96 + 2 + 2 + 524 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63882796225243) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31672183536 + ... + 31672185552.

It is an arithmetic number, because the mean of its divisors is an integer number (147730894584).

Almost surely, 2^{63882796225248} 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 63882796225248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127639492920576).

63882796225248 is an abundant number, since it is smaller than the sum of its proper divisors (191396189615904).

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

63882796225248 is a wasteful number, since it uses less digits than its factorization.

63882796225248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2366 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 63882796225248 in words is "sixty-three trillion, eight hundred eighty-two billion, seven hundred ninety-six million, two hundred twenty-five thousand, two hundred forty-eight".