4671488000 has 120 divisors (see below), whose sum is σ = 11664789864. Its totient is φ = 1867776000.

The previous prime is 4671487957. The next prime is 4671488009. The reversal of 4671488000 is 8841764.

It can be written as a sum of positive squares in 4 ways, for example, as 121176064 + 4550311936 = 11008^2 + 67456^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4671488009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2046860 + ... + 2049140.

Almost surely, 2^4671488000 is an apocalyptic number.

4671488000 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 4671488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832394932).

4671488000 is an abundant number, since it is smaller than the sum of its proper divisors (6993301864).

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

4671488000 is an frugal number, since it uses more digits than its factorization.

4671488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 4671488000 is about 68348.2845432129. The cubic root of 4671488000 is about 1671.6746083516.

The spelling of 4671488000 in words is "four billion, six hundred seventy-one million, four hundred eighty-eight thousand".