4672987200 has 1008 divisors, whose sum is σ = 21048902784. Its totient is φ = 995328000.

The previous prime is 4672987171. The next prime is 4672987237. The reversal of 4672987200 is 27892764.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46267150 + ... + 46267250.

It is an arithmetic number, because the mean of its divisors is an integer number (20881848).

Almost surely, 2^4672987200 is an apocalyptic number.

4672987200 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 4672987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10524451392).

4672987200 is an abundant number, since it is smaller than the sum of its proper divisors (16375915584).

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

4672987200 is a wasteful number, since it uses less digits than its factorization.

4672987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4672987200 is about 68359.2510198876. The cubic root of 4672987200 is about 1671.8534169398.

The spelling of 4672987200 in words is "four billion, six hundred seventy-two million, nine hundred eighty-seven thousand, two hundred".