4764211200 has 648 divisors, whose sum is σ = 19942043940. Its totient is φ = 1083801600.

The previous prime is 4764211157. The next prime is 4764211211. The reversal of 4764211200 is 21124674.

4764211200 is a `hidden beast` number, since 4 + 7 + 642 + 1 + 12 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 22579095 + ... + 22579305.

Almost surely, 2^4764211200 is an apocalyptic number.

4764211200 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 4764211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9971021970).

4764211200 is an abundant number, since it is smaller than the sum of its proper divisors (15177832740).

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

4764211200 is a wasteful number, since it uses less digits than its factorization.

4764211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 228 counting only the distinct ones).

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

The square root of 4764211200 is about 69023.2656428251. The cubic root of 4764211200 is about 1682.6624450249.

Adding to 4764211200 its reverse (21124674), we get a palindrome (4785335874).

The spelling of 4764211200 in words is "four billion, seven hundred sixty-four million, two hundred eleven thousand, two hundred".