63754252800 has 720 divisors, whose sum is σ = 253127584512. Its totient is φ = 14089420800.

The previous prime is 63754252799. The next prime is 63754252801. The reversal of 63754252800 is 825245736.

It is an interprime number because it is at equal distance from previous prime (63754252799) and next prime (63754252801).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (63754252801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58329054 + ... + 58330146.

Almost surely, 2^63754252800 is an apocalyptic number.

63754252800 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 63754252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126563792256).

63754252800 is an abundant number, since it is smaller than the sum of its proper divisors (189373331712).

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

63754252800 is a wasteful number, since it uses less digits than its factorization.

63754252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 63754252800 in words is "sixty-three billion, seven hundred fifty-four million, two hundred fifty-two thousand, eight hundred".