4517864340 has 96 divisors (see below), whose sum is σ = 13872660480. Its totient is φ = 1089475200.

The previous prime is 4517864303. The next prime is 4517864363. The reversal of 4517864340 is 434687154.

It is a super-2 number, since 2×4517864340² = 40822196389287271200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4517864292 and 4517864301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108141 + ... + 143979.

It is an arithmetic number, because the mean of its divisors is an integer number (144506880).

Almost surely, 2^4517864340 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 4517864340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6936330240).

4517864340 is an abundant number, since it is smaller than the sum of its proper divisors (9354796140).

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

4517864340 is a wasteful number, since it uses less digits than its factorization.

4517864340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36053 (or 36051 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 4517864340 is about 67215.0603659626. The cubic root of 4517864340 is about 1653.1454343168.

The spelling of 4517864340 in words is "four billion, five hundred seventeen million, eight hundred sixty-four thousand, three hundred forty".