4889320783200 has 1296 divisors, whose sum is σ = 21162647535120. Its totient is φ = 1056172400640.

The previous prime is 4889320783129. The next prime is 4889320783229. The reversal of 4889320783200 is 23870239884.

4889320783200 is a `hidden beast` number, since 48 + 8 + 9 + 320 + 78 + 3 + 200 = 666.

It is a super-2 number, since 2×4889320783200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4377189042 + ... + 4377190158.

It is an arithmetic number, because the mean of its divisors is an integer number (16329203345).

Almost surely, 2^{4889320783200} is an apocalyptic number.

4889320783200 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 4889320783200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10581323767560).

4889320783200 is an abundant number, since it is smaller than the sum of its proper divisors (16273326751920).

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

4889320783200 is a wasteful number, since it uses less digits than its factorization.

4889320783200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 4889320783200 in words is "four trillion, eight hundred eighty-nine billion, three hundred twenty million, seven hundred eighty-three thousand, two hundred".