63972581483520 has 1408 divisors, whose sum is σ = 240880164940800. Its totient is φ = 16068702633984.

The previous prime is 63972581483519. The next prime is 63972581483521. The reversal of 63972581483520 is 2538418527936.

63972581483520 is a `hidden beast` number, since 6 + 3 + 9 + 7 + 2 + 581 + 48 + 3 + 5 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (63972581483519) and next prime (63972581483521).

It is not an unprimeable number, because it can be changed into a prime (63972581483521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68273832492 + ... + 68273833428.

It is an arithmetic number, because the mean of its divisors is an integer number (171079662600).

It is a 1-persistent number, because it is pandigital, but 2⋅63972581483520 = 127945162967040 is not.

Almost surely, 2^{63972581483520} is an apocalyptic number.

63972581483520 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 63972581483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120440082470400).

63972581483520 is an abundant number, since it is smaller than the sum of its proper divisors (176907583457280).

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

63972581483520 is a wasteful number, since it uses less digits than its factorization.

63972581483520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 63972581483520 in words is "sixty-three trillion, nine hundred seventy-two billion, five hundred eighty-one million, four hundred eighty-three thousand, five hundred twenty".