4806413640 has 512 divisors, whose sum is σ = 19043942400. Its totient is φ = 1068795648.

The previous prime is 4806413611. The next prime is 4806413653. The reversal of 4806413640 is 463146084.

4806413640 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 4 + 1 + 3 + 640 = 666.

It is a super-3 number, since 3×4806413640³ (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 a junction number, because it is equal to n+sod(n) for n = 4806413595 and 4806413604.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28780837 + ... + 28781003.

It is an arithmetic number, because the mean of its divisors is an integer number (37195200).

Almost surely, 2^4806413640 is an apocalyptic number.

4806413640 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 4806413640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9521971200).

4806413640 is an abundant number, since it is smaller than the sum of its proper divisors (14237528760).

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

4806413640 is a wasteful number, since it uses less digits than its factorization.

4806413640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4806413640 is about 69328.3033111297. The cubic root of 4806413640 is about 1687.6163119829.

The spelling of 4806413640 in words is "four billion, eight hundred six million, four hundred thirteen thousand, six hundred forty".