4953328800 has 288 divisors, whose sum is σ = 19022782464. Its totient is φ = 1095552000.

The previous prime is 4953328781. The next prime is 4953328817. The reversal of 4953328800 is 88233594.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516045 + ... + 525555.

It is an arithmetic number, because the mean of its divisors is an integer number (66051328).

Almost surely, 2^4953328800 is an apocalyptic number.

4953328800 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 4953328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9511391232).

4953328800 is an abundant number, since it is smaller than the sum of its proper divisors (14069453664).

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

4953328800 is a wasteful number, since it uses less digits than its factorization.

4953328800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9572 (or 9559 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 4953328800 is about 70379.8891729733. The cubic root of 4953328800 is about 1704.6388642402.

The spelling of 4953328800 in words is "four billion, nine hundred fifty-three million, three hundred twenty-eight thousand, eight hundred".