63873264000 has 768 divisors, whose sum is σ = 265383518400. Its totient is φ = 13470105600.

The previous prime is 63873263989. The next prime is 63873264023. The reversal of 63873264000 is 46237836.

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

It is a self number, because there is not a number n which added to its sum of digits gives 63873264000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30574956 + ... + 30577044.

Almost surely, 2^63873264000 is an apocalyptic number.

63873264000 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 63873264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132691759200).

63873264000 is an abundant number, since it is smaller than the sum of its proper divisors (201510254400).

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

63873264000 is a wasteful number, since it uses less digits than its factorization.

63873264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 63873264000 in words is "sixty-three billion, eight hundred seventy-three million, two hundred sixty-four thousand".