9006362698752 has 528 divisors, whose sum is σ = 28303340382720. Its totient is φ = 2747901542400.

The previous prime is 9006362698741. The next prime is 9006362698759. The reversal of 9006362698752 is 2578962636009.

9006362698752 is a `hidden beast` number, since 90 + 0 + 6 + 362 + 69 + 87 + 52 = 666.

It is a super-2 number, since 2×9006362698752² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9006362698752.

It is not an unprimeable number, because it can be changed into a prime (9006362698759) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5173096602 + ... + 5173098342.

Almost surely, 2^{9006362698752} 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 9006362698752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14151670191360).

9006362698752 is an abundant number, since it is smaller than the sum of its proper divisors (19296977683968).

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

9006362698752 is a wasteful number, since it uses less digits than its factorization.

9006362698752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 9006362698752 in words is "nine trillion, six billion, three hundred sixty-two million, six hundred ninety-eight thousand, seven hundred fifty-two".