4752820800 has 1260 divisors, whose sum is σ = 22317309696. Its totient is φ = 970444800.

The previous prime is 4752820753. The next prime is 4752820801. The reversal of 4752820800 is 80282574.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is not an unprimeable number, because it can be changed into a prime (4752820801) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 153316785 + ... + 153316815.

Almost surely, 2^4752820800 is an apocalyptic number.

4752820800 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 4752820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11158654848).

4752820800 is an abundant number, since it is smaller than the sum of its proper divisors (17564488896).

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

4752820800 is a wasteful number, since it uses less digits than its factorization.

4752820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4752820800 is about 68940.7049572312. The cubic root of 4752820800 is about 1681.3203905429.

The spelling of 4752820800 in words is "four billion, seven hundred fifty-two million, eight hundred twenty thousand, eight hundred".