9869702400 has 486 divisors, whose sum is σ = 36554343098. Its totient is φ = 2539929600.

The previous prime is 9869702383. The next prime is 9869702413. The reversal of 9869702400 is 42079689.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 3218973696 + 6650728704 = 56736^2 + 81552^2 .

It is a super-2 number, since 2×9869702400² (a number of 21 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 161798370 + ... + 161798430.

Almost surely, 2^9869702400 is an apocalyptic number.

9869702400 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 9869702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18277171549).

9869702400 is an abundant number, since it is smaller than the sum of its proper divisors (26684640698).

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

9869702400 is a wasteful number, since it uses less digits than its factorization.

9869702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9869702400 is about 99346.3758775326. The cubic root of 9869702400 is about 2145.0364966812.

The spelling of 9869702400 in words is "nine billion, eight hundred sixty-nine million, seven hundred two thousand, four hundred".