63966240000 has 1440 divisors, whose sum is σ = 273552935040. Its totient is φ = 14598144000.

The previous prime is 63966239969. The next prime is 63966240029. The reversal of 63966240000 is 4266936.

63966240000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 954719967 + ... + 954720033.

It is an arithmetic number, because the mean of its divisors is an integer number (189967316).

Almost surely, 2^63966240000 is an apocalyptic number.

63966240000 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 63966240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136776467520).

63966240000 is an abundant number, since it is smaller than the sum of its proper divisors (209586695040).

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

63966240000 is a wasteful number, since it uses less digits than its factorization.

63966240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 63966240000 in words is "sixty-three billion, nine hundred sixty-six million, two hundred forty thousand".