9006367641 has 16 divisors (see below), whose sum is σ = 12217867200. Its totient is φ = 5899654208.

The previous prime is 9006367619. The next prime is 9006367681. The reversal of 9006367641 is 1467636009.

It is a cyclic number.

It is not a de Polignac number, because 9006367641 - 2¹⁰ = 9006366617 is a prime.

It is a super-2 number, since 2×9006367641² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9006367593 and 9006367602.

It is not an unprimeable number, because it can be changed into a prime (9006367681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397675 + ... + 419711.

It is an arithmetic number, because the mean of its divisors is an integer number (763616700).

Almost surely, 2^9006367641 is an apocalyptic number.

It is an amenable number.

9006367641 is a deficient number, since it is larger than the sum of its proper divisors (3211499559).

9006367641 is a wasteful number, since it uses less digits than its factorization.

9006367641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24408.

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 9006367641 is about 94901.8842858244. The cubic root of 9006367641 is about 2080.5742713677.

The spelling of 9006367641 in words is "nine billion, six million, three hundred sixty-seven thousand, six hundred forty-one".