7009607704320 has 2016 divisors, whose sum is σ = 30232626580800. Its totient is φ = 1537614544896.

The previous prime is 7009607704207. The next prime is 7009607704343. The reversal of 7009607704320 is 234077069007.

It is a happy number.

7009607704320 is a `hidden beast` number, since 7 + 0 + 0 + 9 + 607 + 7 + 0 + 4 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 223 ways as a sum of consecutive naturals, for example, 3918169986 + ... + 3918171774.

It is an arithmetic number, because the mean of its divisors is an integer number (14996342550).

Almost surely, 2^{7009607704320} 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 7009607704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15116313290400).

7009607704320 is an abundant number, since it is smaller than the sum of its proper divisors (23223018876480).

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

7009607704320 is a wasteful number, since it uses less digits than its factorization.

7009607704320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 7009607704320 in words is "seven trillion, nine billion, six hundred seven million, seven hundred four thousand, three hundred twenty".