9470770400 has 576 divisors, whose sum is σ = 30868024320. Its totient is φ = 2753740800.

The previous prime is 9470770349. The next prime is 9470770423. The reversal of 9470770400 is 40770749.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56711117 + ... + 56711283.

It is an arithmetic number, because the mean of its divisors is an integer number (53590320).

Almost surely, 2^9470770400 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 9470770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15434012160).

9470770400 is an abundant number, since it is smaller than the sum of its proper divisors (21397253920).

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

9470770400 is a wasteful number, since it uses less digits than its factorization.

9470770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 38.

The square root of 9470770400 is about 97317.8832486609. The cubic root of 9470770400 is about 2115.7374302408.

The spelling of 9470770400 in words is "nine billion, four hundred seventy million, seven hundred seventy thousand, four hundred".