1663016400 has 240 divisors, whose sum is σ = 6058451520. Its totient is φ = 433036800.

The previous prime is 1663016387. The next prime is 1663016419. The reversal of 1663016400 is 46103661.

1663016400 is a `hidden beast` number, since 16 + 6 + 3 + 0 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462610 + ... + 466190.

It is an arithmetic number, because the mean of its divisors is an integer number (25243548).

Almost surely, 2^1663016400 is an apocalyptic number.

1663016400 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 1663016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029225760).

1663016400 is an abundant number, since it is smaller than the sum of its proper divisors (4395435120).

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

1663016400 is a wasteful number, since it uses less digits than its factorization.

1663016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1663016400 is about 40780.0980871797. The cubic root of 1663016400 is about 1184.7648948738.

The spelling of 1663016400 in words is "one billion, six hundred sixty-three million, sixteen thousand, four hundred".