9133604240640 has 576 divisors, whose sum is σ = 32550698299392. Its totient is φ = 2163675136000.

The previous prime is 9133604240639. The next prime is 9133604240641. The reversal of 9133604240640 is 460424063319.

It is an interprime number because it is at equal distance from previous prime (9133604240639) and next prime (9133604240641).

It is a junction number, because it is equal to n+sod(n) for n = 9133604240592 and 9133604240601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9133604240641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1391677999 + ... + 1391684561.

It is an arithmetic number, because the mean of its divisors is an integer number (56511628992).

Almost surely, 2^{9133604240640} 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 9133604240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16275349149696).

9133604240640 is an abundant number, since it is smaller than the sum of its proper divisors (23417094058752).

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

9133604240640 is a wasteful number, since it uses less digits than its factorization.

9133604240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7346 (or 7332 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 9133604240640 in words is "nine trillion, one hundred thirty-three billion, six hundred four million, two hundred forty thousand, six hundred forty".