9618470400 has 480 divisors, whose sum is σ = 39626535168. Its totient is φ = 1998028800.

The previous prime is 9618470327. The next prime is 9618470401. The reversal of 9618470400 is 40748169.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×9618470400³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9618470401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2955174 + ... + 2958426.

Almost surely, 2^9618470400 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 9618470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813267584).

9618470400 is an abundant number, since it is smaller than the sum of its proper divisors (30008064768).

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

9618470400 is a wasteful number, since it uses less digits than its factorization.

9618470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 9618470400 is about 98073.8007828798. The cubic root of 9618470400 is about 2126.6793018623.

The spelling of 9618470400 in words is "nine billion, six hundred eighteen million, four hundred seventy thousand, four hundred".