9872409600 has 693 divisors, whose sum is σ = 38355251053. Its totient is φ = 2518179840.

The previous prime is 9872409583. The next prime is 9872409601. The reversal of 9872409600 is 69042789.

It is a happy number.

The square root of 9872409600 is 99360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3554067456 + 6318342144 = 59616^2 + 79488^2 .

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

It is not an unprimeable number, because it can be changed into a prime (9872409601) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 429235189 + ... + 429235211.

Almost surely, 2^9872409600 is an apocalyptic number.

9872409600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9872409600 is the 99360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9872409600

9872409600 is an abundant number, since it is smaller than the sum of its proper divisors (28482841453).

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

9872409600 is an equidigital number, since it uses as much as digits as its factorization.

9872409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 33 counting only the distinct ones).

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

The cubic root of 9872409600 is about 2145.2326022882.

The spelling of 9872409600 in words is "nine billion, eight hundred seventy-two million, four hundred nine thousand, six hundred".