63809665920 has 3072 divisors, whose sum is σ = 337565491200. Its totient is φ = 11147673600.

The previous prime is 63809665883. The next prime is 63809665921. The reversal of 63809665920 is 2956690836.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63809665921) 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 383 ways as a sum of consecutive naturals, for example, 2058376305 + ... + 2058376335.

It is an arithmetic number, because the mean of its divisors is an integer number (109884600).

Almost surely, 2^63809665920 is an apocalyptic number.

63809665920 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 63809665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168782745600).

63809665920 is an abundant number, since it is smaller than the sum of its proper divisors (273755825280).

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

63809665920 is a wasteful number, since it uses less digits than its factorization.

63809665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 63809665920 in words is "sixty-three billion, eight hundred nine million, six hundred sixty-five thousand, nine hundred twenty".