7969509706020 has 96 divisors (see below), whose sum is σ = 22665104090496. Its totient is φ = 2091872640000.

The previous prime is 7969509705943. The next prime is 7969509706031. The reversal of 7969509706020 is 206079059697.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4468120 + ... + 5991920.

It is an arithmetic number, because the mean of its divisors is an integer number (236094834276).

Almost surely, 2^{7969509706020} 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 7969509706020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11332552045248).

7969509706020 is an abundant number, since it is smaller than the sum of its proper divisors (14695594384476).

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

7969509706020 is a wasteful number, since it uses less digits than its factorization.

7969509706020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525181 (or 1525179 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 60.

The spelling of 7969509706020 in words is "seven trillion, nine hundred sixty-nine billion, five hundred nine million, seven hundred six thousand, twenty".