4672260000 has 360 divisors, whose sum is σ = 16832739924. Its totient is φ = 1228800000.

The previous prime is 4672259927. The next prime is 4672260007. The reversal of 4672260000 is 622764.

It can be written as a sum of positive squares in 10 ways, for example, as 518199696 + 4154060304 = 22764^2 + 64452^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (4672260007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18179872 + ... + 18180128.

Almost surely, 2^4672260000 is an apocalyptic number.

4672260000 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 4672260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8416369962).

4672260000 is an abundant number, since it is smaller than the sum of its proper divisors (12160479924).

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

4672260000 is a wasteful number, since it uses less digits than its factorization.

4672260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4672260000 is about 68353.9318547222. The cubic root of 4672260000 is about 1671.7666890558.

Adding to 4672260000 its reverse (622764), we get a palindrome (4672882764).

The spelling of 4672260000 in words is "four billion, six hundred seventy-two million, two hundred sixty thousand".