9364660905600 has 4608 divisors, whose sum is σ = 47613612533760. Its totient is φ = 1754564198400.

The previous prime is 9364660905557. The next prime is 9364660905671. The reversal of 9364660905600 is 65090664639.

It is a happy number.

9364660905600 is a `hidden beast` number, since 9 + 36 + 46 + 6 + 0 + 9 + 0 + 560 + 0 = 666.

It is a super-2 number, since 2×9364660905600² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 41254012687 + ... + 41254012913.

It is an arithmetic number, because the mean of its divisors is an integer number (10332815220).

Almost surely, 2^{9364660905600} is an apocalyptic number.

9364660905600 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 9364660905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23806806266880).

9364660905600 is an abundant number, since it is smaller than the sum of its proper divisors (38248951628160).

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

9364660905600 is a wasteful number, since it uses less digits than its factorization.

9364660905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 9364660905600 in words is "nine trillion, three hundred sixty-four billion, six hundred sixty million, nine hundred five thousand, six hundred".