4700620800 has 324 divisors, whose sum is σ = 17002886355. Its totient is φ = 1241088000.

The previous prime is 4700620781. The next prime is 4700620807. The reversal of 4700620800 is 80260074.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 4174193664 + 526427136 = 64608^2 + 22944^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=48480.

It is not an unprimeable number, because it can be changed into a prime (4700620807) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46540750 + ... + 46540850.

Almost surely, 2^4700620800 is an apocalyptic number.

4700620800 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 4700620800

4700620800 is an abundant number, since it is smaller than the sum of its proper divisors (12302265555).

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

4700620800 is a wasteful number, since it uses less digits than its factorization.

4700620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4700620800 is about 68561.0735038476. The cubic root of 4700620800 is about 1675.1424308971.

Adding to 4700620800 its reverse (80260074), we get a palindrome (4780880874).

The spelling of 4700620800 in words is "four billion, seven hundred million, six hundred twenty thousand, eight hundred".