7984738944 has 864 divisors, whose sum is σ = 30982573440. Its totient is φ = 2037934080.

The previous prime is 7984738943. The next prime is 7984738997. The reversal of 7984738944 is 4498374897.

7984738944 is a `hidden beast` number, since 79 + 8 + 473 + 8 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (48771072) is a multiple of the sum of its prime divisors (56).

It is not an unprimeable number, because it can be changed into a prime (7984738943) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 257572209 + ... + 257572239.

It is an arithmetic number, because the mean of its divisors is an integer number (35859460).

Almost surely, 2^7984738944 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 7984738944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15491286720).

7984738944 is an abundant number, since it is smaller than the sum of its proper divisors (22997834496).

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

7984738944 is a wasteful number, since it uses less digits than its factorization.

7984738944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 56 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The square root of 7984738944 is about 89357.3664786513. The cubic root of 7984738944 is about 1998.7274357952.

The spelling of 7984738944 in words is "seven billion, nine hundred eighty-four million, seven hundred thirty-eight thousand, nine hundred forty-four".