9364045824 has 399 divisors, whose sum is σ = 32663604387. Its totient is φ = 2675441664.

The previous prime is 9364045811. The next prime is 9364045837. The reversal of 9364045824 is 4285404639.

The square root of 9364045824 is 96768.

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

9364045824 is a `hidden beast` number, since 9 + 3 + 64 + 0 + 4 + 582 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (9364045811) and next prime (9364045837).

It is a self number, because there is not a number n which added to its sum of digits gives 9364045824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1337720829 + ... + 1337720835.

Almost surely, 2^9364045824 is an apocalyptic number.

9364045824 is the 96768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9364045824

9364045824 is an abundant number, since it is smaller than the sum of its proper divisors (23299558563).

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

9364045824 is an frugal number, since it uses more digits than its factorization.

9364045824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The cubic root of 9364045824 is about 2107.7600889732.

The spelling of 9364045824 in words is "nine billion, three hundred sixty-four million, forty-five thousand, eight hundred twenty-four".