4889692800 has 432 divisors, whose sum is σ = 18060537690. Its totient is φ = 1259520000.

The previous prime is 4889692793. The next prime is 4889692831. The reversal of 4889692800 is 82969884.

It can be written as a sum of positive squares in 9 ways, for example, as 2005056 + 4887687744 = 1416^2 + 69912^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 48412750 + ... + 48412850.

Almost surely, 2^4889692800 is an apocalyptic number.

4889692800 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 4889692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9030268845).

4889692800 is an abundant number, since it is smaller than the sum of its proper divisors (13170844890).

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

4889692800 is a wasteful number, since it uses less digits than its factorization.

4889692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 4889692800 is about 69926.3383854753. The cubic root of 4889692800 is about 1697.3074793791.

The spelling of 4889692800 in words is "four billion, eight hundred eighty-nine million, six hundred ninety-two thousand, eight hundred".