4736585340 has 288 divisors, whose sum is σ = 15282146880. Its totient is φ = 1186099200.

The previous prime is 4736585261. The next prime is 4736585353. The reversal of 4736585340 is 435856374.

4736585340 is a `hidden beast` number, since 4 + 7 + 36 + 585 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 36157075 + ... + 36157205.

It is an arithmetic number, because the mean of its divisors is an integer number (53063010).

Almost surely, 2^4736585340 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 4736585340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641073440).

4736585340 is an abundant number, since it is smaller than the sum of its proper divisors (10545561540).

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

4736585340 is a wasteful number, since it uses less digits than its factorization.

4736585340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 4736585340 is about 68822.8547794989. The cubic root of 4736585340 is about 1679.4037637594.

The spelling of 4736585340 in words is "four billion, seven hundred thirty-six million, five hundred eighty-five thousand, three hundred forty".