1663601472 has 336 divisors, whose sum is σ = 5458602240. Its totient is φ = 480743424.

The previous prime is 1663601417. The next prime is 1663601557. The reversal of 1663601472 is 2741063661.

It is a happy number.

1663601472 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 601 + 47 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10206063 + ... + 10206225.

It is an arithmetic number, because the mean of its divisors is an integer number (16245840).

Almost surely, 2^1663601472 is an apocalyptic number.

1663601472 is a gapful number since it is divisible by the number (12) 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 1663601472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729301120).

1663601472 is an abundant number, since it is smaller than the sum of its proper divisors (3795000768).

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

1663601472 is a wasteful number, since it uses less digits than its factorization.

1663601472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1663601472 is about 40787.2709555322. The cubic root of 1663601472 is about 1184.9038174351.

The spelling of 1663601472 in words is "one billion, six hundred sixty-three million, six hundred one thousand, four hundred seventy-two".