63112263963840 has 5376 divisors, whose sum is σ = 315239871098880. Its totient is φ = 11626705059840.

The previous prime is 63112263963811. The next prime is 63112263963841. The reversal of 63112263963840 is 4836936221136.

63112263963840 is a `hidden beast` number, since 6 + 3 + 1 + 1 + 226 + 39 + 6 + 384 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (63112263963841) 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 767 ways as a sum of consecutive naturals, for example, 121136782780 + ... + 121136783300.

It is an arithmetic number, because the mean of its divisors is an integer number (58638368880).

Almost surely, 2^{63112263963840} is an apocalyptic number.

63112263963840 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 63112263963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157619935549440).

63112263963840 is an abundant number, since it is smaller than the sum of its proper divisors (252127607135040).

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

63112263963840 is a wasteful number, since it uses less digits than its factorization.

63112263963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 63112263963840 in words is "sixty-three trillion, one hundred twelve billion, two hundred sixty-three million, nine hundred sixty-three thousand, eight hundred forty".