4991892800 has 168 divisors, whose sum is σ = 13349264640. Its totient is φ = 1830297600.

The previous prime is 4991892761. The next prime is 4991892809. The reversal of 4991892800 is 82981994.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4991892809) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 939752 + ... + 945048.

Almost surely, 2^4991892800 is an apocalyptic number.

4991892800 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 4991892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6674632320).

4991892800 is an abundant number, since it is smaller than the sum of its proper divisors (8357371840).

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

4991892800 is a wasteful number, since it uses less digits than its factorization.

4991892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5369 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 50.

The square root of 4991892800 is about 70653.3283009371. The cubic root of 4991892800 is about 1709.0512389108.

The spelling of 4991892800 in words is "four billion, nine hundred ninety-one million, eight hundred ninety-two thousand, eight hundred".