1663475616 has 240 divisors, whose sum is σ = 5470996608. Its totient is φ = 491443200.

The previous prime is 1663475603. The next prime is 1663475617. The reversal of 1663475616 is 6165743661.

1663475616 is a `hidden beast` number, since 1 + 6 + 634 + 7 + 5 + 6 + 1 + 6 = 666.

It is a super-2 number, since 2×1663475616² = 5534302250053158912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1663475617) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1168281 + ... + 1169703.

Almost surely, 2^1663475616 is an apocalyptic number.

1663475616 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 1663475616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735498304).

1663475616 is an abundant number, since it is smaller than the sum of its proper divisors (3807520992).

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

1663475616 is a wasteful number, since it uses less digits than its factorization.

1663475616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1480 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 1663475616 is about 40785.7280920667. The cubic root of 1663475616 is about 1184.8739362770.

The spelling of 1663475616 in words is "one billion, six hundred sixty-three million, four hundred seventy-five thousand, six hundred sixteen".