9368563680 has 576 divisors, whose sum is σ = 39230231040. Its totient is φ = 2065803264.

The previous prime is 9368563621. The next prime is 9368563751. The reversal of 9368563680 is 863658639.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 7892047 + ... + 7893233.

It is an arithmetic number, because the mean of its divisors is an integer number (68108040).

Almost surely, 2^9368563680 is an apocalyptic number.

9368563680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9368563680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19615115520).

9368563680 is an abundant number, since it is smaller than the sum of its proper divisors (29861667360).

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

9368563680 is a wasteful number, since it uses less digits than its factorization.

9368563680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 9368563680 is about 96791.3409350237. The cubic root of 9368563680 is about 2108.0990103366.

The spelling of 9368563680 in words is "nine billion, three hundred sixty-eight million, five hundred sixty-three thousand, six hundred eighty".