4840672320 has 672 divisors, whose sum is σ = 19612782720. Its totient is φ = 1114214400.

The previous prime is 4840672261. The next prime is 4840672367. The reversal of 4840672320 is 232760484.

It is a super-3 number, since 3×4840672320³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91333414 + ... + 91333466.

Almost surely, 2^4840672320 is an apocalyptic number.

4840672320 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 4840672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9806391360).

4840672320 is an abundant number, since it is smaller than the sum of its proper divisors (14772110400).

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

4840672320 is a wasteful number, since it uses less digits than its factorization.

4840672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4840672320 is about 69574.9403161799. The cubic root of 4840672320 is about 1691.6164313371.

The spelling of 4840672320 in words is "four billion, eight hundred forty million, six hundred seventy-two thousand, three hundred twenty".