63548057664 has 1008 divisors, whose sum is σ = 243515790336. Its totient is φ = 15676416000.

The previous prime is 63548057659. The next prime is 63548057693. The reversal of 63548057664 is 46675084536.

63548057664 is a `hidden beast` number, since 6 + 3 + 5 + 4 + 8 + 0 + 576 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 63548057664.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 420847989 + ... + 420848139.

Almost surely, 2^63548057664 is an apocalyptic number.

63548057664 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 63548057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121757895168).

63548057664 is an abundant number, since it is smaller than the sum of its proper divisors (179967732672).

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

63548057664 is a wasteful number, since it uses less digits than its factorization.

63548057664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 63548057664 in words is "sixty-three billion, five hundred forty-eight million, fifty-seven thousand, six hundred sixty-four".