7446968984 has 128 divisors (see below), whose sum is σ = 18579993600. Its totient is φ = 2715379200.

The previous prime is 7446968959. The next prime is 7446968993. The reversal of 7446968984 is 4898696447.

It is a self number, because there is not a number n which added to its sum of digits gives 7446968984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504509 + ... + 519059.

It is an arithmetic number, because the mean of its divisors is an integer number (145156200).

Almost surely, 2^7446968984 is an apocalyptic number.

7446968984 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7446968984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9289996800).

7446968984 is an abundant number, since it is smaller than the sum of its proper divisors (11133024616).

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

7446968984 is a wasteful number, since it uses less digits than its factorization.

7446968984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14633 (or 14629 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 65.

The square root of 7446968984 is about 86295.8225176630. The cubic root of 7446968984 is about 1952.8093614406.

The spelling of 7446968984 in words is "seven billion, four hundred forty-six million, nine hundred sixty-eight thousand, nine hundred eighty-four".