63248874067200 has 864 divisors, whose sum is σ = 233601108572160. Its totient is φ = 14995456819200.

The previous prime is 63248874067129. The next prime is 63248874067229. The reversal of 63248874067200 is 276047884236.

It is a super-3 number, since 3×63248874067200³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 444620085 + ... + 444762315.

It is an arithmetic number, because the mean of its divisors is an integer number (270371653440).

Almost surely, 2^{63248874067200} is an apocalyptic number.

63248874067200 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 63248874067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116800554286080).

63248874067200 is an abundant number, since it is smaller than the sum of its proper divisors (170352234504960).

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

63248874067200 is a wasteful number, since it uses less digits than its factorization.

63248874067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142355 (or 142336 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 57.

The spelling of 63248874067200 in words is "sixty-three trillion, two hundred forty-eight billion, eight hundred seventy-four million, sixty-seven thousand, two hundred".