4994628800 has 336 divisors, whose sum is σ = 15118080000. Its totient is φ = 1618928640.

The previous prime is 4994628797. The next prime is 4994628811. The reversal of 4994628800 is 88264994.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10426961 + ... + 10427439.

Almost surely, 2^4994628800 is an apocalyptic number.

4994628800 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 4994628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7559040000).

4994628800 is an abundant number, since it is smaller than the sum of its proper divisors (10123451200).

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

4994628800 is a wasteful number, since it uses less digits than its factorization.

4994628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 50.

The square root of 4994628800 is about 70672.6877938005. The cubic root of 4994628800 is about 1709.3634191035.

The spelling of 4994628800 in words is "four billion, nine hundred ninety-four million, six hundred twenty-eight thousand, eight hundred".