7984399276416 has 128 divisors (see below), whose sum is σ = 22334799484800. Its totient is φ = 2520259964928.

The previous prime is 7984399276387. The next prime is 7984399276423. The reversal of 7984399276416 is 6146729934897.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16120980 + ... + 16608876.

It is an arithmetic number, because the mean of its divisors is an integer number (174490620975).

Almost surely, 2^{7984399276416} is an apocalyptic number.

7984399276416 is a gapful number since it is divisible by the number (76) 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 7984399276416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11167399742400).

7984399276416 is an abundant number, since it is smaller than the sum of its proper divisors (14350400208384).

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

7984399276416 is a wasteful number, since it uses less digits than its factorization.

7984399276416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490176 (or 490164 counting only the distinct ones).

The product of its digits is 987614208, while the sum is 75.

The spelling of 7984399276416 in words is "seven trillion, nine hundred eighty-four billion, three hundred ninety-nine million, two hundred seventy-six thousand, four hundred sixteen".