63828095385600 has 3960 divisors, whose sum is σ = 302300598502560. Its totient is φ = 13002646487040.

The previous prime is 63828095385581. The next prime is 63828095385601. The reversal of 63828095385600 is 658359082836.

63828095385600 is a `hidden beast` number, since 6 + 38 + 2 + 8 + 0 + 9 + 5 + 38 + 560 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63828095385601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 2200968806386 + ... + 2200968806414.

Almost surely, 2^{63828095385600} is an apocalyptic number.

63828095385600 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 63828095385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151150299251280).

63828095385600 is an abundant number, since it is smaller than the sum of its proper divisors (238472503116960).

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

63828095385600 is an frugal number, since it uses more digits than its factorization.

63828095385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 63828095385600 in words is "sixty-three trillion, eight hundred twenty-eight billion, ninety-five million, three hundred eighty-five thousand, six hundred".