63131320320 has 512 divisors, whose sum is σ = 215919475200. Its totient is φ = 15722348544.

The previous prime is 63131320271. The next prime is 63131320367. The reversal of 63131320320 is 2302313136.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612925389 + ... + 612925491.

It is an arithmetic number, because the mean of its divisors is an integer number (421717725).

Almost surely, 2^63131320320 is an apocalyptic number.

63131320320 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 63131320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107959737600).

63131320320 is an abundant number, since it is smaller than the sum of its proper divisors (152788154880).

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

63131320320 is a wasteful number, since it uses less digits than its factorization.

63131320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 63131320320 its reverse (2302313136), we get a palindrome (65433633456).

The spelling of 63131320320 in words is "sixty-three billion, one hundred thirty-one million, three hundred twenty thousand, three hundred twenty".