9306666400 has 72 divisors (see below), whose sum is σ = 22742856864. Its totient is φ = 3718905600.

The previous prime is 9306666389. The next prime is 9306666403. The reversal of 9306666400 is 46666039.

It is a super-2 number, since 2×9306666400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (9306666403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 867469 + ... + 878131.

It is an arithmetic number, because the mean of its divisors is an integer number (315873012).

Almost surely, 2^9306666400 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 9306666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11371428432).

9306666400 is an abundant number, since it is smaller than the sum of its proper divisors (13436190464).

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

9306666400 is a wasteful number, since it uses less digits than its factorization.

9306666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11774 (or 11761 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The square root of 9306666400 is about 96471.0650920783. The cubic root of 9306666400 is about 2103.4460728603.

The spelling of 9306666400 in words is "nine billion, three hundred six million, six hundred sixty-six thousand, four hundred".