63828955008 has 384 divisors, whose sum is σ = 228427792320. Its totient is φ = 16657809408.

The previous prime is 63828955007. The next prime is 63828955013. The reversal of 63828955008 is 80055982836.

63828955008 is a `hidden beast` number, since 6 + 3 + 8 + 2 + 89 + 550 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63828955007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10165566 + ... + 10171842.

Almost surely, 2^63828955008 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 63828955008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114213896160).

63828955008 is an abundant number, since it is smaller than the sum of its proper divisors (164598837312).

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

63828955008 is a wasteful number, since it uses less digits than its factorization.

63828955008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6414 (or 6399 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 63828955008 in words is "sixty-three billion, eight hundred twenty-eight million, nine hundred fifty-five thousand, eight".