63783864 has 144 divisors (see below), whose sum is σ = 193527360. Its totient is φ = 18892800.

The previous prime is 63783827. The next prime is 63783901. The reversal of 63783864 is 46838736.

63783864 is a `hidden beast` number, since 637 + 8 + 3 + 8 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (63783827) and next prime (63783901).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1555684 + ... + 1555724.

It is an arithmetic number, because the mean of its divisors is an integer number (1343940).

Almost surely, 2^63783864 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 63783864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96763680).

63783864 is an abundant number, since it is smaller than the sum of its proper divisors (129743496).

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

63783864 is a wasteful number, since it uses less digits than its factorization.

63783864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 94 counting only the distinct ones).

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

The square root of 63783864 is about 7986.4800757280. The cubic root of 63783864 is about 399.5492088258.

The spelling of 63783864 in words is "sixty-three million, seven hundred eighty-three thousand, eight hundred sixty-four".