1663359840 has 192 divisors, whose sum is σ = 5893171200. Its totient is φ = 438124032.

The previous prime is 1663359829. The next prime is 1663359851. The reversal of 1663359840 is 489533661.

1663359840 is a `hidden beast` number, since 1 + 6 + 633 + 5 + 9 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1663359829) and next prime (1663359851).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356241 + ... + 360879.

It is an arithmetic number, because the mean of its divisors is an integer number (30693600).

Almost surely, 2^1663359840 is an apocalyptic number.

1663359840 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 1663359840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946585600).

1663359840 is an abundant number, since it is smaller than the sum of its proper divisors (4229811360).

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

1663359840 is a wasteful number, since it uses less digits than its factorization.

1663359840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 1663359840 is about 40784.3087473602. The cubic root of 1663359840 is about 1184.8464470157.

The spelling of 1663359840 in words is "one billion, six hundred sixty-three million, three hundred fifty-nine thousand, eight hundred forty".