9704822400 has 1296 divisors, whose sum is σ = 45349577910. Its totient is φ = 1958584320.

The previous prime is 9704822383. The next prime is 9704822411. The reversal of 9704822400 is 42284079.

9704822400 = 276³ + 277³ + ... + 459³.

It can be written as a sum of positive squares in 3 ways, for example, as 5389909056 + 4314913344 = 73416^2 + 65688^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 421948789 + ... + 421948811.

Almost surely, 2^9704822400 is an apocalyptic number.

9704822400 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 9704822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22674788955).

9704822400 is an abundant number, since it is smaller than the sum of its proper divisors (35644755510).

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

9704822400 is a wasteful number, since it uses less digits than its factorization.

9704822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 9704822400 is about 98513.0570026126. The cubic root of 9704822400 is about 2133.0245994197.

The spelling of 9704822400 in words is "nine billion, seven hundred four million, eight hundred twenty-two thousand, four hundred".