1663336400 has 120 divisors (see below), whose sum is σ = 4401441504. Its totient is φ = 599027200.

The previous prime is 1663336393. The next prime is 1663336417. The reversal of 1663336400 is 46333661.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469034 + ... + 472566.

Almost surely, 2^1663336400 is an apocalyptic number.

1663336400 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 1663336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200720752).

1663336400 is an abundant number, since it is smaller than the sum of its proper divisors (2738105104).

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

1663336400 is a wasteful number, since it uses less digits than its factorization.

1663336400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

The square root of 1663336400 is about 40784.0213809281. The cubic root of 1663336400 is about 1184.8408813868.

The spelling of 1663336400 in words is "one billion, six hundred sixty-three million, three hundred thirty-six thousand, four hundred".