63339144960 has 864 divisors, whose sum is σ = 255097479168. Its totient is φ = 13111787520.

The previous prime is 63339144937. The next prime is 63339144961. The reversal of 63339144960 is 6944193336.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63339144961) 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 95 ways as a sum of consecutive naturals, for example, 331618465 + ... + 331618655.

It is an arithmetic number, because the mean of its divisors is an integer number (295251712).

Almost surely, 2^63339144960 is an apocalyptic number.

63339144960 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 63339144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127548739584).

63339144960 is an abundant number, since it is smaller than the sum of its proper divisors (191758334208).

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

63339144960 is a wasteful number, since it uses less digits than its factorization.

63339144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 48.

The spelling of 63339144960 in words is "sixty-three billion, three hundred thirty-nine million, one hundred forty-four thousand, nine hundred sixty".