4720643200 has 576 divisors, whose sum is σ = 15276254400. Its totient is φ = 1408942080.

The previous prime is 4720643197. The next prime is 4720643219. The reversal of 4720643200 is 23460274.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109782379 + ... + 109782421.

It is an arithmetic number, because the mean of its divisors is an integer number (26521275).

Almost surely, 2^4720643200 is an apocalyptic number.

4720643200 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 4720643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7638127200).

4720643200 is an abundant number, since it is smaller than the sum of its proper divisors (10555611200).

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

4720643200 is a wasteful number, since it uses less digits than its factorization.

4720643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 4720643200 is about 68706.9370587861. The cubic root of 4720643200 is about 1677.5174974836.

The spelling of 4720643200 in words is "four billion, seven hundred twenty million, six hundred forty-three thousand, two hundred".