63477648 has 160 divisors (see below), whose sum is σ = 199987200. Its totient is φ = 19160064.

The previous prime is 63477647. The next prime is 63477691. The reversal of 63477648 is 84677436.

63477648 is a `hidden beast` number, since 634 + 7 + 7 + 6 + 4 + 8 = 666.

It is a super-2 number, since 2×63477648² = 8058823591223808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (63477647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499761 + ... + 499887.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 2^63477648 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 63477648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99993600).

63477648 is an abundant number, since it is smaller than the sum of its proper divisors (136509552).

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

63477648 is a wasteful number, since it uses less digits than its factorization.

63477648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 234 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 63477648 is about 7967.2861125982. The cubic root of 63477648 is about 398.9087925393.

The spelling of 63477648 in words is "sixty-three million, four hundred seventy-seven thousand, six hundred forty-eight".