9359696009664 has 2688 divisors, whose sum is σ = 40021939077120. Its totient is φ = 2026915799040.

The previous prime is 9359696009639. The next prime is 9359696009717. The reversal of 9359696009664 is 4669006969539.

9359696009664 is a `hidden beast` number, since 9 + 3 + 5 + 9 + 6 + 9 + 600 + 9 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9359696009592 and 9359696009601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30487608999 + ... + 30487609305.

It is an arithmetic number, because the mean of its divisors is an integer number (14889114240).

Almost surely, 2^{9359696009664} 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 9359696009664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20010969538560).

9359696009664 is an abundant number, since it is smaller than the sum of its proper divisors (30662243067456).

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

9359696009664 is a wasteful number, since it uses less digits than its factorization.

9359696009664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 510183360, while the sum is 72.

The spelling of 9359696009664 in words is "nine trillion, three hundred fifty-nine billion, six hundred ninety-six million, nine thousand, six hundred sixty-four".