4995763200 has 198 divisors, whose sum is σ = 17888020644. Its totient is φ = 1332142080.

The previous prime is 4995763147. The next prime is 4995763217. The reversal of 4995763200 is 23675994.

It is a happy number.

4995763200 is a `hidden beast` number, since 4 + 9 + 9 + 5 + 7 + 632 + 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 219559 + ... + 241241.

Almost surely, 2^4995763200 is an apocalyptic number.

4995763200 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 4995763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8944010322).

4995763200 is an abundant number, since it is smaller than the sum of its proper divisors (12892257444).

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

4995763200 is a wasteful number, since it uses less digits than its factorization.

4995763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21719 (or 21693 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 4995763200 is about 70680.7130694081. The cubic root of 4995763200 is about 1709.4928217847.

The spelling of 4995763200 in words is "four billion, nine hundred ninety-five million, seven hundred sixty-three thousand, two hundred".