7982219626080 has 768 divisors, whose sum is σ = 30593972699136. Its totient is φ = 1710889205760.

The previous prime is 7982219626027. The next prime is 7982219626091. The reversal of 7982219626080 is 806269122897.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 568810744 + ... + 568824776.

It is an arithmetic number, because the mean of its divisors is an integer number (39835901952).

Almost surely, 2^{7982219626080} is an apocalyptic number.

7982219626080 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 7982219626080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15296986349568).

7982219626080 is an abundant number, since it is smaller than the sum of its proper divisors (22611753073056).

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

7982219626080 is a wasteful number, since it uses less digits than its factorization.

7982219626080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14259 (or 14251 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 7982219626080 in words is "seven trillion, nine hundred eighty-two billion, two hundred nineteen million, six hundred twenty-six thousand, eighty".