1563664284 has 384 divisors, whose sum is σ = 5419008000. Its totient is φ = 386104320.

The previous prime is 1563664279. The next prime is 1563664313. The reversal of 1563664284 is 4824663651.

1563664284 is a `hidden beast` number, since 1 + 5 + 6 + 366 + 4 + 284 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8186629 + ... + 8186819.

It is an arithmetic number, because the mean of its divisors is an integer number (14112000).

Almost surely, 2^1563664284 is an apocalyptic number.

1563664284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1563664284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709504000).

1563664284 is an abundant number, since it is smaller than the sum of its proper divisors (3855343716).

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

1563664284 is a wasteful number, since it uses less digits than its factorization.

1563664284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 233 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 1563664284 is about 39543.1951668046. The cubic root of 1563664284 is about 1160.6853569839.

The spelling of 1563664284 in words is "one billion, five hundred sixty-three million, six hundred sixty-four thousand, two hundred eighty-four".