1663534656 has 336 divisors, whose sum is σ = 5791443840. Its totient is φ = 446423040.

The previous prime is 1663534637. The next prime is 1663534657. The reversal of 1663534656 is 6564353661.

1663534656 is a `hidden beast` number, since 1 + 6 + 63 + 534 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (1663534657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4793875 + ... + 4794221.

It is an arithmetic number, because the mean of its divisors is an integer number (17236440).

Almost surely, 2^1663534656 is an apocalyptic number.

1663534656 is a gapful number since it is divisible by the number (16) 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 1663534656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895721920).

1663534656 is an abundant number, since it is smaller than the sum of its proper divisors (4127909184).

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

1663534656 is a wasteful number, since it uses less digits than its factorization.

1663534656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 429 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The square root of 1663534656 is about 40786.4518682368. The cubic root of 1663534656 is about 1184.8879539416.

The spelling of 1663534656 in words is "one billion, six hundred sixty-three million, five hundred thirty-four thousand, six hundred fifty-six".