63263300400 has 720 divisors, whose sum is σ = 235739911680. Its totient is φ = 16286054400.

The previous prime is 63263300389. The next prime is 63263300473. The reversal of 63263300400 is 400336236.

63263300400 is a `hidden beast` number, since 6 + 326 + 330 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 614206749 + ... + 614206851.

It is an arithmetic number, because the mean of its divisors is an integer number (327416544).

Almost surely, 2^63263300400 is an apocalyptic number.

63263300400 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 63263300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117869955840).

63263300400 is an abundant number, since it is smaller than the sum of its proper divisors (172476611280).

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

63263300400 is a wasteful number, since it uses less digits than its factorization.

63263300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 63263300400 its reverse (400336236), we get a palindrome (63663636636).

The spelling of 63263300400 in words is "sixty-three billion, two hundred sixty-three million, three hundred thousand, four hundred".