63549065664 has 336 divisors, whose sum is σ = 213817443840. Its totient is φ = 17667901440.

The previous prime is 63549065647. The next prime is 63549065669. The reversal of 63549065664 is 46656094536.

63549065664 is a `hidden beast` number, since 6 + 35 + 49 + 0 + 6 + 566 + 4 = 666.

63549065664 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 (336).

It is a self number, because there is not a number n which added to its sum of digits gives 63549065664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63549065669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62241474 + ... + 62242494.

It is an arithmetic number, because the mean of its divisors is an integer number (636361440).

Almost surely, 2^63549065664 is an apocalyptic number.

63549065664 is a gapful number since it is divisible by the number (64) 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 63549065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106908721920).

63549065664 is an abundant number, since it is smaller than the sum of its proper divisors (150268378176).

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

63549065664 is a wasteful number, since it uses less digits than its factorization.

63549065664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 63549065664 in words is "sixty-three billion, five hundred forty-nine million, sixty-five thousand, six hundred sixty-four".