63348768 has 162 divisors, whose sum is σ = 212734431. Its totient is φ = 17829504.

The previous prime is 63348763. The next prime is 63348787. The reversal of 63348768 is 86784336.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

63348768 is a `hidden beast` number, since 633 + 4 + 8 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31674384 + 31674384 = 5628^2 + 5628^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5628.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (63348763) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 945471 + ... + 945537.

Almost surely, 2^63348768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63348768

63348768 is an abundant number, since it is smaller than the sum of its proper divisors (149385663).

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

63348768 is a wasteful number, since it uses less digits than its factorization.

63348768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 79 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 63348768 is about 7959.1939290358. The cubic root of 63348768 is about 398.6386386612.

The spelling of 63348768 in words is "sixty-three million, three hundred forty-eight thousand, seven hundred sixty-eight".