9704494800 has 720 divisors, whose sum is σ = 45233854848. Its totient is φ = 1860710400.

The previous prime is 9704494769. The next prime is 9704494831. The reversal of 9704494800 is 84944079.

It is an interprime number because it is at equal distance from previous prime (9704494769) and next prime (9704494831).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3602254 + ... + 3604946.

Almost surely, 2^9704494800 is an apocalyptic number.

9704494800 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 9704494800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22616927424).

9704494800 is an abundant number, since it is smaller than the sum of its proper divisors (35529360048).

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

9704494800 is a wasteful number, since it uses less digits than its factorization.

9704494800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9704494800 is about 98511.3942648260. The cubic root of 9704494800 is about 2133.0005980627. Note that the first 3 decimals are identical.

It can be divided in two parts, 97044 and 94800, that added together give a square (191844 = 438²).

The spelling of 9704494800 in words is "nine billion, seven hundred four million, four hundred ninety-four thousand, eight hundred".