63628416000 has 1320 divisors, whose sum is σ = 264987441576. Its totient is φ = 15128985600.

The previous prime is 63628415911. The next prime is 63628416023. The reversal of 63628416000 is 61482636.

63628416000 is a `hidden beast` number, since 6 + 3 + 6 + 2 + 8 + 41 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 269485056 + 63358930944 = 16416^2 + 251712^2 .

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3348863991 + ... + 3348864009.

Almost surely, 2^63628416000 is an apocalyptic number.

63628416000 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 63628416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132493720788).

63628416000 is an abundant number, since it is smaller than the sum of its proper divisors (201359025576).

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

63628416000 is a wasteful number, since it uses less digits than its factorization.

63628416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 63628416000 its reverse (61482636), we get a palindrome (63689898636).

The spelling of 63628416000 in words is "sixty-three billion, six hundred twenty-eight million, four hundred sixteen thousand".