9945673984 has 81 divisors (see below), whose sum is σ = 20830040679. Its totient is φ = 4739074560.

The previous prime is 9945673981. The next prime is 9945674009. The reversal of 9945673984 is 4893765499.

The square root of 9945673984 is 99728.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9945673981) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 36699769 + ... + 36700039.

Almost surely, 2^9945673984 is an apocalyptic number.

9945673984 is the 99728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9945673984

9945673984 is an abundant number, since it is smaller than the sum of its proper divisors (10884366695).

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

9945673984 is an frugal number, since it uses more digits than its factorization.

9945673984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 296 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 64.

The cubic root of 9945673984 is about 2150.5262086085.

Multiplying 9945673984 by its sum of digits (64), we get a square (636523134976 = 797824²).

9945673984 divided by its sum of digits (64) gives a square (155401156 = 12466²).

It can be divided in two parts, 9945 and 673984, that added together give a square (683929 = 827²).

The spelling of 9945673984 in words is "nine billion, nine hundred forty-five million, six hundred seventy-three thousand, nine hundred eighty-four".