63033675264 has 480 divisors, whose sum is σ = 223423200000. Its totient is φ = 17053618176.

The previous prime is 63033675239. The next prime is 63033675281. The reversal of 63033675264 is 46257633036.

63033675264 is a `hidden beast` number, since 6 + 30 + 33 + 67 + 526 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30029287 + ... + 30031385.

It is an arithmetic number, because the mean of its divisors is an integer number (465465000).

Almost surely, 2^63033675264 is an apocalyptic number.

63033675264 is a gapful number since it is divisible by the number (64) 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 63033675264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111711600000).

63033675264 is an abundant number, since it is smaller than the sum of its proper divisors (160389524736).

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

63033675264 is a wasteful number, since it uses less digits than its factorization.

63033675264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

It can be divided in two parts, 630336 and 75264, that added together give a square (705600 = 840²).

The spelling of 63033675264 in words is "sixty-three billion, thirty-three million, six hundred seventy-five thousand, two hundred sixty-four".