4772785200 has 480 divisors, whose sum is σ = 16938201600. Its totient is φ = 1144872960.

The previous prime is 4772785189. The next prime is 4772785231. The reversal of 4772785200 is 25872774.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53626756 + ... + 53626844.

It is an arithmetic number, because the mean of its divisors is an integer number (35287920).

Almost surely, 2^4772785200 is an apocalyptic number.

4772785200 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 4772785200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8469100800).

4772785200 is an abundant number, since it is smaller than the sum of its proper divisors (12165416400).

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

4772785200 is a wasteful number, since it uses less digits than its factorization.

4772785200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 42.

The square root of 4772785200 is about 69085.3472163237. The cubic root of 4772785200 is about 1683.6712515301.

The spelling of 4772785200 in words is "four billion, seven hundred seventy-two million, seven hundred eighty-five thousand, two hundred".