4721428800 has 504 divisors, whose sum is σ = 18778923072. Its totient is φ = 1115136000.

The previous prime is 4721428741. The next prime is 4721428801. The reversal of 4721428800 is 88241274.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4721428801) 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 71 ways as a sum of consecutive naturals, for example, 6494037 + ... + 6494763.

It is an arithmetic number, because the mean of its divisors is an integer number (37259768).

Almost surely, 2^4721428800 is an apocalyptic number.

4721428800 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 4721428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9389461536).

4721428800 is an abundant number, since it is smaller than the sum of its proper divisors (14057494272).

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

4721428800 is a wasteful number, since it uses less digits than its factorization.

4721428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4721428800 is about 68712.6538564768. The cubic root of 4721428800 is about 1677.6105486909.

The spelling of 4721428800 in words is "four billion, seven hundred twenty-one million, four hundred twenty-eight thousand, eight hundred".