7481561984 has 128 divisors (see below), whose sum is σ = 16710170400. Its totient is φ = 3312820224.

The previous prime is 7481561963. The next prime is 7481562007. The reversal of 7481561984 is 4891651847.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9506039 + ... + 9506825.

Almost surely, 2^7481561984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7481561984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8355085200).

7481561984 is an abundant number, since it is smaller than the sum of its proper divisors (9228608416).

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

7481561984 is a wasteful number, since it uses less digits than its factorization.

7481561984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1028 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 53.

The square root of 7481561984 is about 86496.0229374738. The cubic root of 7481561984 is about 1955.8284511568.

The spelling of 7481561984 in words is "seven billion, four hundred eighty-one million, five hundred sixty-one thousand, nine hundred eighty-four".