4817820672 has 528 divisors, whose sum is σ = 17657782272. Its totient is φ = 1232732160.

The previous prime is 4817820613. The next prime is 4817820677. The reversal of 4817820672 is 2760287184.

It is a super-2 number, since 2×4817820672² = 46422792055101063168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4817820677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25224097 + ... + 25224287.

Almost surely, 2^4817820672 is an apocalyptic number.

4817820672 is a gapful number since it is divisible by the number (42) 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 4817820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8828891136).

4817820672 is an abundant number, since it is smaller than the sum of its proper divisors (12839961600).

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

4817820672 is a wasteful number, since it uses less digits than its factorization.

4817820672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 4817820672 is about 69410.5227757290. The cubic root of 4817820672 is about 1688.9503270150.

The spelling of 4817820672 in words is "four billion, eight hundred seventeen million, eight hundred twenty thousand, six hundred seventy-two".