9616622400 has 1344 divisors, whose sum is σ = 45354240000. Its totient is φ = 1964390400.

The previous prime is 9616622321. The next prime is 9616622423. The reversal of 9616622400 is 42266169.

9616622400 is a `hidden beast` number, since 96 + 166 + 2 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 162993571 + ... + 162993629.

Almost surely, 2^9616622400 is an apocalyptic number.

9616622400 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 9616622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22677120000).

9616622400 is an abundant number, since it is smaller than the sum of its proper divisors (35737617600).

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

9616622400 is a wasteful number, since it uses less digits than its factorization.

9616622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9616622400 is about 98064.3788538937. The cubic root of 9616622400 is about 2126.5430932653.

Adding to 9616622400 its reverse (42266169), we get a palindrome (9658888569).

The spelling of 9616622400 in words is "nine billion, six hundred sixteen million, six hundred twenty-two thousand, four hundred".