63336528000 has 384 divisors, whose sum is σ = 228151825200. Its totient is φ = 16838246400.

The previous prime is 63336527977. The next prime is 63336528007. The reversal of 63336528000 is 82563336.

It is a happy number.

63336528000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4474004544 + 58862523456 = 66888^2 + 242616^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (63336528007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81935614 + ... + 81936386.

Almost surely, 2^63336528000 is an apocalyptic number.

63336528000 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 63336528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114075912600).

63336528000 is an abundant number, since it is smaller than the sum of its proper divisors (164815297200).

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

63336528000 is a wasteful number, since it uses less digits than its factorization.

63336528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 63336528000 in words is "sixty-three billion, three hundred thirty-six million, five hundred twenty-eight thousand".