9466413600 has 288 divisors, whose sum is σ = 36747648000. Its totient is φ = 2069591040.

The previous prime is 9466413587. The next prime is 9466413601. The reversal of 9466413600 is 63146649.

It is a super-2 number, since 2×9466413600² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9466413601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374151 + ... + 398649.

It is an arithmetic number, because the mean of its divisors is an integer number (127596000).

Almost surely, 2^9466413600 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 9466413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18373824000).

9466413600 is an abundant number, since it is smaller than the sum of its proper divisors (27281234400).

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

9466413600 is a wasteful number, since it uses less digits than its factorization.

9466413600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24552 (or 24539 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 9466413600 is about 97295.4962986468. The cubic root of 9466413600 is about 2115.4129491166.

The spelling of 9466413600 in words is "nine billion, four hundred sixty-six million, four hundred thirteen thousand, six hundred".