9984006400 has 81 divisors (see below), whose sum is σ = 24731777091. Its totient is φ = 3990405120.

The previous prime is 9984006377. The next prime is 9984006421. The reversal of 9984006400 is 46004899.

The square root of 9984006400 is 99920.

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

It can be written as a sum of positive squares in 4 ways, for example, as 533055744 + 9450950656 = 23088^2 + 97216^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7992976 + ... + 7994224.

Almost surely, 2^9984006400 is an apocalyptic number.

9984006400 is the 99920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9984006400

9984006400 is an abundant number, since it is smaller than the sum of its proper divisors (14747770691).

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

9984006400 is an frugal number, since it uses more digits than its factorization.

9984006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The cubic root of 9984006400 is about 2153.2855049385.

The spelling of 9984006400 in words is "nine billion, nine hundred eighty-four million, six thousand, four hundred".