9998400064 has 63 divisors (see below), whose sum is σ = 20596111081. Its totient is φ = 4815614720.

The previous prime is 9998400047. The next prime is 9998400101. The reversal of 9998400064 is 4600048999.

The square root of 9998400064 is 99992.

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

9998400064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5242918464 + 4755481600 = 72408^2 + 68960^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9998399990 and 9998400017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23197929 + ... + 23198359.

Almost surely, 2^9998400064 is an apocalyptic number.

9998400064 is the 99992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9998400064

9998400064 is an abundant number, since it is smaller than the sum of its proper divisors (10597711017).

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

9998400064 is an frugal number, since it uses more digits than its factorization.

9998400064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The cubic root of 9998400064 is about 2154.3197853163.

Multiplying 9998400064 by its sum of digits (49), we get a square (489921603136 = 699944²).

The spelling of 9998400064 in words is "nine billion, nine hundred ninety-eight million, four hundred thousand, sixty-four".