4994572800 has 480 divisors, whose sum is σ = 19983756672. Its totient is φ = 1073479680.

The previous prime is 4994572787. The next prime is 4994572811. The reversal of 4994572800 is 82754994.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4994572800.

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 47 ways as a sum of consecutive naturals, for example, 4569054 + ... + 4570146.

Almost surely, 2^4994572800 is an apocalyptic number.

4994572800 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 4994572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9991878336).

4994572800 is an abundant number, since it is smaller than the sum of its proper divisors (14989183872).

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

4994572800 is a wasteful number, since it uses less digits than its factorization.

4994572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 4994572800 is about 70672.2916000323. The cubic root of 4994572800 is about 1709.3570305934.

The spelling of 4994572800 in words is "four billion, nine hundred ninety-four million, five hundred seventy-two thousand, eight hundred".