4688323200 has 384 divisors, whose sum is σ = 18721569600. Its totient is φ = 1136332800.

The previous prime is 4688323181. The next prime is 4688323217. The reversal of 4688323200 is 23238864.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947934 + ... + 952866.

Almost surely, 2^4688323200 is an apocalyptic number.

4688323200 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 4688323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9360784800).

4688323200 is an abundant number, since it is smaller than the sum of its proper divisors (14033246400).

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

4688323200 is a wasteful number, since it uses less digits than its factorization.

4688323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4977 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4688323200 is about 68471.3312270179. The cubic root of 4688323200 is about 1673.6803387518.

The spelling of 4688323200 in words is "four billion, six hundred eighty-eight million, three hundred twenty-three thousand, two hundred".