4672873660 has 288 divisors, whose sum is σ = 13127933952. Its totient is φ = 1364014080.

The previous prime is 4672873651. The next prime is 4672873669. The reversal of 4672873660 is 663782764.

4672873660 = T₃₀₉ + T₃₁₀ + ... + T₃₀₃₈.

It is an interprime number because it is at equal distance from previous prime (4672873651) and next prime (4672873669).

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4672873669) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16869442 + ... + 16869718.

It is an arithmetic number, because the mean of its divisors is an integer number (45583104).

Almost surely, 2^4672873660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4672873660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6563966976).

4672873660 is an abundant number, since it is smaller than the sum of its proper divisors (8455060292).

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

4672873660 is a wasteful number, since it uses less digits than its factorization.

4672873660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

The square root of 4672873660 is about 68358.4205493369. The cubic root of 4672873660 is about 1671.8398764380.

The spelling of 4672873660 in words is "four billion, six hundred seventy-two million, eight hundred seventy-three thousand, six hundred sixty".