9649418400 has 216 divisors, whose sum is σ = 34106059260. Its totient is φ = 2567147520.

The previous prime is 9649418351. The next prime is 9649418417. The reversal of 9649418400 is 48149469.

It can be written as a sum of positive squares in 6 ways, for example, as 3332983824 + 6316434576 = 57732^2 + 79476^2 .

It is a super-2 number, since 2×9649418400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3663484 + ... + 3666116.

Almost surely, 2^9649418400 is an apocalyptic number.

9649418400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9649418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17053029630).

9649418400 is an abundant number, since it is smaller than the sum of its proper divisors (24456640860).

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

9649418400 is a wasteful number, since it uses less digits than its factorization.

9649418400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9649418400 is about 98231.4532112806. The cubic root of 9649418400 is about 2128.9577655799.

The spelling of 9649418400 in words is "nine billion, six hundred forty-nine million, four hundred eighteen thousand, four hundred".