7009414989720 has 256 divisors, whose sum is σ = 24715206190080. Its totient is φ = 1567861401600.

The previous prime is 7009414989679. The next prime is 7009414989743. The reversal of 7009414989720 is 279894149007.

It is a super-2 number, since 2×7009414989720² (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40084317 + ... + 40258803.

It is an arithmetic number, because the mean of its divisors is an integer number (96543774180).

Almost surely, 2^{7009414989720} 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 7009414989720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12357603095040).

7009414989720 is an abundant number, since it is smaller than the sum of its proper divisors (17705791200360).

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

7009414989720 is a wasteful number, since it uses less digits than its factorization.

7009414989720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176866 (or 176862 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 60.

The spelling of 7009414989720 in words is "seven trillion, nine billion, four hundred fourteen million, nine hundred eighty-nine thousand, seven hundred twenty".