9994400784 has 75 divisors (see below), whose sum is σ = 28937115757. Its totient is φ = 3330267264.

The previous prime is 9994400771. The next prime is 9994400813. The reversal of 9994400784 is 4870044999.

It is a happy number.

The square root of 9994400784 is 99972.

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., 1553936400 + 8440464384 = 39420^2 + 91872^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9994400784.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3597604 + ... + 3600380.

Almost surely, 2^9994400784 is an apocalyptic number.

9994400784 is the 99972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9994400784

9994400784 is an abundant number, since it is smaller than the sum of its proper divisors (18942714973).

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

9994400784 is an frugal number, since it uses more digits than its factorization.

9994400784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5574 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The cubic root of 9994400784 is about 2154.0325101199.

The spelling of 9994400784 in words is "nine billion, nine hundred ninety-four million, four hundred thousand, seven hundred eighty-four".