63676512 has 72 divisors (see below), whose sum is σ = 188972784. Its totient is φ = 20300544.

The previous prime is 63676499. The next prime is 63676537. The reversal of 63676512 is 21567636.

63676512 is a `hidden beast` number, since 636 + 7 + 6 + 5 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×63676512² = 8109396360972288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 1818 + ... + 11430.

It is an arithmetic number, because the mean of its divisors is an integer number (2624622).

Almost surely, 2^63676512 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 63676512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94486392).

63676512 is an abundant number, since it is smaller than the sum of its proper divisors (125296272).

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

63676512 is a wasteful number, since it uses less digits than its factorization.

63676512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9652 (or 9641 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 63676512 is about 7979.7563872589. The cubic root of 63676512 is about 399.3249280021.

The spelling of 63676512 in words is "sixty-three million, six hundred seventy-six thousand, five hundred twelve".