1663303680 has 304 divisors, whose sum is σ = 6039786240. Its totient is φ = 434110464.

The previous prime is 1663303679. The next prime is 1663303693. The reversal of 1663303680 is 863033661.

1663303680 is a `hidden beast` number, since 16 + 633 + 0 + 3 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35389417 + ... + 35389463.

Almost surely, 2^1663303680 is an apocalyptic number.

1663303680 is a gapful number since it is divisible by the number (10) 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 1663303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019893120).

1663303680 is an abundant number, since it is smaller than the sum of its proper divisors (4376482560).

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

1663303680 is an frugal number, since it uses more digits than its factorization.

1663303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 1663303680 is about 40783.6202414646. The cubic root of 1663303680 is about 1184.8331122131.

The spelling of 1663303680 in words is "one billion, six hundred sixty-three million, three hundred three thousand, six hundred eighty".