63533870400 has 1008 divisors, whose sum is σ = 285017382720. Its totient is φ = 12179865600.

The previous prime is 63533870383. The next prime is 63533870401. The reversal of 63533870400 is 407833536.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63533870401) by changing a digit.

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, 33632656 + ... + 33634544.

It is an arithmetic number, because the mean of its divisors is an integer number (282755340).

Almost surely, 2^63533870400 is an apocalyptic number.

63533870400 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 63533870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142508691360).

63533870400 is an abundant number, since it is smaller than the sum of its proper divisors (221483512320).

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

63533870400 is a wasteful number, since it uses less digits than its factorization.

63533870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 63533870400 in words is "sixty-three billion, five hundred thirty-three million, eight hundred seventy thousand, four hundred".