63521146080 has 720 divisors, whose sum is σ = 272177690400. Its totient is φ = 13884659712.

The previous prime is 63521146067. The next prime is 63521146111. The reversal of 63521146080 is 8064112536.

It is a happy number.

63521146080 is a `hidden beast` number, since 6 + 35 + 2 + 1 + 14 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 14603746 + ... + 14608094.

It is an arithmetic number, because the mean of its divisors is an integer number (378024570).

Almost surely, 2^63521146080 is an apocalyptic number.

63521146080 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 63521146080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136088845200).

63521146080 is an abundant number, since it is smaller than the sum of its proper divisors (208656544320).

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

63521146080 is a wasteful number, since it uses less digits than its factorization.

63521146080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4413 (or 4389 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 63521146080 in words is "sixty-three billion, five hundred twenty-one million, one hundred forty-six thousand, eighty".