4764538800 has 960 divisors, whose sum is σ = 21255782400. Its totient is φ = 989107200.

The previous prime is 4764538763. The next prime is 4764538853. The reversal of 4764538800 is 88354674.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44528347 + ... + 44528453.

It is an arithmetic number, because the mean of its divisors is an integer number (22141440).

Almost surely, 2^4764538800 is an apocalyptic number.

4764538800 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 4764538800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10627891200).

4764538800 is an abundant number, since it is smaller than the sum of its proper divisors (16491243600).

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

4764538800 is a wasteful number, since it uses less digits than its factorization.

4764538800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4764538800 is about 69025.6387149007. The cubic root of 4764538800 is about 1682.7010122756.

The spelling of 4764538800 in words is "four billion, seven hundred sixty-four million, five hundred thirty-eight thousand, eight hundred".