4537564584336 has 675 divisors, whose sum is σ = 15618985561179. Its totient is φ = 1268073346176.

The previous prime is 4537564584269. The next prime is 4537564584341. The reversal of 4537564584336 is 6334854657354.

The square root of 4537564584336 is 2130156.

It is a perfect power (a square), and thus also a powerful number.

4537564584336 is a `hidden beast` number, since 4 + 5 + 37 + 564 + 5 + 8 + 4 + 3 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 42407145595 + ... + 42407145701.

Almost surely, 2^{4537564584336} is an apocalyptic number.

4537564584336 is the 2130156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4537564584336

4537564584336 is an abundant number, since it is smaller than the sum of its proper divisors (11081420976843).

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

4537564584336 is an equidigital number, since it uses as much as digits as its factorization.

4537564584336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 198 counting only the distinct ones).

The product of its digits is 435456000, while the sum is 63.

The spelling of 4537564584336 in words is "four trillion, five hundred thirty-seven billion, five hundred sixty-four million, five hundred eighty-four thousand, three hundred thirty-six".