9645494400 has 288 divisors, whose sum is σ = 36230828400. Its totient is φ = 2436618240.

The previous prime is 9645494393. The next prime is 9645494407. The reversal of 9645494400 is 44945469.

9645494400 is a `hidden beast` number, since 9 + 64 + 549 + 4 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9645494393) and next prime (9645494407).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (9645494407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 538387 + ... + 556013.

Almost surely, 2^9645494400 is an apocalyptic number.

9645494400 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 9645494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18115414200).

9645494400 is an abundant number, since it is smaller than the sum of its proper divisors (26585334000).

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

9645494400 is a wasteful number, since it uses less digits than its factorization.

9645494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17676 (or 17656 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 9645494400 is about 98211.4779442810. The cubic root of 9645494400 is about 2128.6691415202.

The spelling of 9645494400 in words is "nine billion, six hundred forty-five million, four hundred ninety-four thousand, four hundred".