7982729687370 has 128 divisors (see below), whose sum is σ = 20314180657152. Its totient is φ = 2004075129600.

The previous prime is 7982729687323. The next prime is 7982729687371. The reversal of 7982729687370 is 737869272897.

It is a junction number, because it is equal to n+sod(n) for n = 7982729687292 and 7982729687301.

It is not an unprimeable number, because it can be changed into a prime (7982729687371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296841625 + ... + 296868515.

It is an arithmetic number, because the mean of its divisors is an integer number (158704536384).

Almost surely, 2^{7982729687370} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7982729687370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10157090328576).

7982729687370 is an abundant number, since it is smaller than the sum of its proper divisors (12331450969782).

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

7982729687370 is a wasteful number, since it uses less digits than its factorization.

7982729687370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35596.

The product of its (nonzero) digits is 896168448, while the sum is 75.

The spelling of 7982729687370 in words is "seven trillion, nine hundred eighty-two billion, seven hundred twenty-nine million, six hundred eighty-seven thousand, three hundred seventy".