63666832320 has 672 divisors, whose sum is σ = 270804363648. Its totient is φ = 13369245696.

The previous prime is 63666832267. The next prime is 63666832321. The reversal of 63666832320 is 2323866636.

63666832320 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 (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63666832321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72595722 + ... + 72596598.

It is an arithmetic number, because the mean of its divisors is an integer number (402982684).

Almost surely, 2^63666832320 is an apocalyptic number.

63666832320 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 63666832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135402181824).

63666832320 is an abundant number, since it is smaller than the sum of its proper divisors (207137531328).

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

63666832320 is a wasteful number, since it uses less digits than its factorization.

63666832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 63666832320 in words is "sixty-three billion, six hundred sixty-six million, eight hundred thirty-two thousand, three hundred twenty".