4564064340 has 288 divisors, whose sum is σ = 16291457280. Its totient is φ = 1057985280.

The previous prime is 4564064339. The next prime is 4564064369. The reversal of 4564064340 is 434604654.

4564064340 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 0 + 643 + 4 + 0 = 666.

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 = 4564064295 and 4564064304.

It is a congruent number.

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, 1501302 + ... + 1504338.

It is an arithmetic number, because the mean of its divisors is an integer number (56567560).

Almost surely, 2^4564064340 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 4564064340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8145728640).

4564064340 is an abundant number, since it is smaller than the sum of its proper divisors (11727392940).

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

4564064340 is a wasteful number, since it uses less digits than its factorization.

4564064340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 4564064340 is about 67557.8592023164. The cubic root of 4564064340 is about 1658.7613952042.

Adding to 4564064340 its reverse (434604654), we get a palindrome (4998668994).

The spelling of 4564064340 in words is "four billion, five hundred sixty-four million, sixty-four thousand, three hundred forty".