4667725200 has 120 divisors (see below), whose sum is σ = 15092435808. Its totient is φ = 1233059840.

The previous prime is 4667725187. The next prime is 4667725229. The reversal of 4667725200 is 25277664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110224 + ... + 146576.

Almost surely, 2^4667725200 is an apocalyptic number.

4667725200 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 4667725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7546217904).

4667725200 is an abundant number, since it is smaller than the sum of its proper divisors (10424710608).

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

4667725200 is a wasteful number, since it uses less digits than its factorization.

4667725200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36481 (or 36470 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 4667725200 is about 68320.7523377780. The cubic root of 4667725200 is about 1671.2256531259.

The spelling of 4667725200 in words is "four billion, six hundred sixty-seven million, seven hundred twenty-five thousand, two hundred".