9643670400 has 1152 divisors, whose sum is σ = 42391036800. Its totient is φ = 1904394240.

The previous prime is 9643670369. The next prime is 9643670401. The reversal of 9643670400 is 40763469.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9643670401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 116188759 + ... + 116188841.

It is an arithmetic number, because the mean of its divisors is an integer number (36797775).

Almost surely, 2^9643670400 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 9643670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21195518400).

9643670400 is an abundant number, since it is smaller than the sum of its proper divisors (32747366400).

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

9643670400 is a wasteful number, since it uses less digits than its factorization.

9643670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 9643670400 is about 98202.1914215767. The cubic root of 9643670400 is about 2128.5349532273.

The spelling of 9643670400 in words is "nine billion, six hundred forty-three million, six hundred seventy thousand, four hundred".