63810091872 has 480 divisors, whose sum is σ = 210760704000. Its totient is φ = 18820657152.

The previous prime is 63810091871. The next prime is 63810091937. The reversal of 63810091872 is 27819001836.

63810091872 is a `hidden beast` number, since 638 + 1 + 0 + 0 + 9 + 1 + 8 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63810091871) 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 79 ways as a sum of consecutive naturals, for example, 166605793 + ... + 166606175.

It is an arithmetic number, because the mean of its divisors is an integer number (439084800).

Almost surely, 2^63810091872 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 63810091872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105380352000).

63810091872 is an abundant number, since it is smaller than the sum of its proper divisors (146950612128).

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

63810091872 is a wasteful number, since it uses less digits than its factorization.

63810091872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 63810091872 in words is "sixty-three billion, eight hundred ten million, ninety-one thousand, eight hundred seventy-two".