63408526272 has 560 divisors, whose sum is σ = 233244014080. Its totient is φ = 16585648128.

The previous prime is 63408526217. The next prime is 63408526289. The reversal of 63408526272 is 27262580436.

63408526272 is a `hidden beast` number, since 63 + 40 + 8 + 526 + 27 + 2 = 666.

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 79 ways as a sum of consecutive naturals, for example, 65571933 + ... + 65572899.

It is an arithmetic number, because the mean of its divisors is an integer number (416507168).

Almost surely, 2^63408526272 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 63408526272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116622007040).

63408526272 is an abundant number, since it is smaller than the sum of its proper divisors (169835487808).

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

63408526272 is a wasteful number, since it uses less digits than its factorization.

63408526272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 63408526272 in words is "sixty-three billion, four hundred eight million, five hundred twenty-six thousand, two hundred seventy-two".