7009540022016 has 1944 divisors, whose sum is σ = 26494755727440. Its totient is φ = 1842041585664.

The previous prime is 7009540021961. The next prime is 7009540022039. The reversal of 7009540022016 is 6102200459007.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 64307706570 + ... + 64307706678.

Almost surely, 2^{7009540022016} 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 7009540022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13247377863720).

7009540022016 is an abundant number, since it is smaller than the sum of its proper divisors (19485215705424).

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

7009540022016 is a wasteful number, since it uses less digits than its factorization.

7009540022016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 7009540022016 in words is "seven trillion, nine billion, five hundred forty million, twenty-two thousand, sixteen".