7982420306016 has 768 divisors, whose sum is σ = 24817281914880. Its totient is φ = 2224491724800.

The previous prime is 7982420305997. The next prime is 7982420306039. The reversal of 7982420306016 is 6106030242897.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13021892526 + ... + 13021893138.

It is an arithmetic number, because the mean of its divisors is an integer number (32314169160).

Almost surely, 2^{7982420306016} 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 7982420306016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12408640957440).

7982420306016 is an abundant number, since it is smaller than the sum of its proper divisors (16834861608864).

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

7982420306016 is a wasteful number, since it uses less digits than its factorization.

7982420306016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 7982420306016 in words is "seven trillion, nine hundred eighty-two billion, four hundred twenty million, three hundred six thousand, sixteen".