7944720000 has 320 divisors, whose sum is σ = 30144100800. Its totient is φ = 1815552000.

The previous prime is 7944719999. The next prime is 7944720011. The reversal of 7944720000 is 274497.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1677636 + ... + 1682364.

It is an arithmetic number, because the mean of its divisors is an integer number (94200315).

Almost surely, 2^7944720000 is an apocalyptic number.

7944720000 is a gapful number since it is divisible by the number (70) 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 7944720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15072050400).

7944720000 is an abundant number, since it is smaller than the sum of its proper divisors (22199380800).

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

7944720000 is an equidigital number, since it uses as much as digits as its factorization.

7944720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 7944720000 is about 89133.1588130927. The cubic root of 7944720000 is about 1995.3826817226.

Adding to 7944720000 its reverse (274497), we get a palindrome (7944994497).

The spelling of 7944720000 in words is "seven billion, nine hundred forty-four million, seven hundred twenty thousand".