63322272000 has 648 divisors, whose sum is σ = 246916961928. Its totient is φ = 15575040000.

The previous prime is 63322271977. The next prime is 63322272007. The reversal of 63322272000 is 27222336.

63322272000 is a `hidden beast` number, since 633 + 2 + 2 + 2 + 7 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 61036667136 + 2285604864 = 247056^2 + 47808^2 .

It is not an unprimeable number, because it can be changed into a prime (63322272007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48671350 + ... + 48672650.

Almost surely, 2^63322272000 is an apocalyptic number.

63322272000 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 63322272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123458480964).

63322272000 is an abundant number, since it is smaller than the sum of its proper divisors (183594689928).

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

63322272000 is a wasteful number, since it uses less digits than its factorization.

63322272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 63322272000 its reverse (27222336), we get a palindrome (63349494336).

The spelling of 63322272000 in words is "sixty-three billion, three hundred twenty-two million, two hundred seventy-two thousand".