63677952 has 120 divisors (see below), whose sum is σ = 198101904. Its totient is φ = 19574784.

The previous prime is 63677951. The next prime is 63677953. The reversal of 63677952 is 25977636.

63677952 is a `hidden beast` number, since 636 + 7 + 7 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (63677951) and next prime (63677953).

It is a junction number, because it is equal to n+sod(n) for n = 63677898 and 63677907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63677951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59373 + ... + 60435.

Almost surely, 2^63677952 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 63677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99050952).

63677952 is an abundant number, since it is smaller than the sum of its proper divisors (134423952).

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

63677952 is a wasteful number, since it uses less digits than its factorization.

63677952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1081 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 63677952 is about 7979.8466150672. The cubic root of 63677952 is about 399.3279381312.

The spelling of 63677952 in words is "sixty-three million, six hundred seventy-seven thousand, nine hundred fifty-two".