7045872410016 has 504 divisors, whose sum is σ = 22900562953380. Its totient is φ = 2131365519360.

The previous prime is 7045872409987. The next prime is 7045872410029. The reversal of 7045872410016 is 6100142785407.

7045872410016 is a `hidden beast` number, since 70 + 458 + 7 + 24 + 100 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6738073808400 + 307798601616 = 2595780^2 + 554796^2 .

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 83 ways as a sum of consecutive naturals, for example, 1899667170 + ... + 1899670878.

Almost surely, 2^{7045872410016} 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 7045872410016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11450281476690).

7045872410016 is an abundant number, since it is smaller than the sum of its proper divisors (15854690543364).

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

7045872410016 is a wasteful number, since it uses less digits than its factorization.

7045872410016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4432 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 7045872410016 in words is "seven trillion, forty-five billion, eight hundred seventy-two million, four hundred ten thousand, sixteen".