63268755378192 has 480 divisors, whose sum is σ = 223270326895616. Its totient is φ = 16277998464000.

The previous prime is 63268755378167. The next prime is 63268755378223. The reversal of 63268755378192 is 29187355786236.

63268755378192 is a `hidden beast` number, since 6 + 3 + 2 + 6 + 8 + 7 + 5 + 537 + 81 + 9 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 63268755378192.

It is an unprimeable number.

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, 456906567 + ... + 457045017.

Almost surely, 2^{63268755378192} 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 63268755378192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111635163447808).

63268755378192 is an abundant number, since it is smaller than the sum of its proper divisors (160001571517424).

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

63268755378192 is a wasteful number, since it uses less digits than its factorization.

63268755378192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139339 (or 139330 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 63268755378192 in words is "sixty-three trillion, two hundred sixty-eight billion, seven hundred fifty-five million, three hundred seventy-eight thousand, one hundred ninety-two".