4672855680 has 128 divisors (see below), whose sum is σ = 15375398400. Its totient is φ = 1205882880.

The previous prime is 4672855673. The next prime is 4672855703. The reversal of 4672855680 is 865582764.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4672855680² = 43671160412216524800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20266 + ... + 98774.

It is an arithmetic number, because the mean of its divisors is an integer number (120120300).

Almost surely, 2^4672855680 is an apocalyptic number.

4672855680 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 4672855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7687699200).

4672855680 is an abundant number, since it is smaller than the sum of its proper divisors (10702542720).

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

4672855680 is a wasteful number, since it uses less digits than its factorization.

4672855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78562 (or 78550 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The square root of 4672855680 is about 68358.2890365170. The cubic root of 4672855680 is about 1671.8377321672.

The spelling of 4672855680 in words is "four billion, six hundred seventy-two million, eight hundred fifty-five thousand, six hundred eighty".