4663987200 has 396 divisors, whose sum is σ = 17264365248. Its totient is φ = 1201766400.

The previous prime is 4663987193. The next prime is 4663987259. The reversal of 4663987200 is 27893664.

4663987200 is a `hidden beast` number, since 4 + 6 + 639 + 8 + 7 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7142074 + ... + 7142726.

Almost surely, 2^4663987200 is an apocalyptic number.

4663987200 is a gapful number since it is divisible by the number (40) 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 4663987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8632182624).

4663987200 is an abundant number, since it is smaller than the sum of its proper divisors (12600378048).

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

4663987200 is a wasteful number, since it uses less digits than its factorization.

4663987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4663987200 is about 68293.3906026052. The cubic root of 4663987200 is about 1670.7794179294.

The spelling of 4663987200 in words is "four billion, six hundred sixty-three million, nine hundred eighty-seven thousand, two hundred".