4974652800 has 768 divisors, whose sum is σ = 20257036800. Its totient is φ = 1184440320.

The previous prime is 4974652759. The next prime is 4974652847. The reversal of 4974652800 is 82564794.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 48297549 + ... + 48297651.

It is an arithmetic number, because the mean of its divisors is an integer number (26376350).

Almost surely, 2^4974652800 is an apocalyptic number.

4974652800 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 4974652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10128518400).

4974652800 is an abundant number, since it is smaller than the sum of its proper divisors (15282384000).

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

4974652800 is a wasteful number, since it uses less digits than its factorization.

4974652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4974652800 is about 70531.2186198424. The cubic root of 4974652800 is about 1707.0815099405.

The spelling of 4974652800 in words is "four billion, nine hundred seventy-four million, six hundred fifty-two thousand, eight hundred".