7072426313316 has 576 divisors, whose sum is σ = 23189800838400. Its totient is φ = 1847496978432.

The previous prime is 7072426313291. The next prime is 7072426313347. The reversal of 7072426313316 is 6133136242707.

7072426313316 is a `hidden beast` number, since 7 + 0 + 7 + 2 + 4 + 2 + 631 + 3 + 3 + 1 + 6 = 666.

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 191 ways as a sum of consecutive naturals, for example, 7238921020 + ... + 7238921996.

It is an arithmetic number, because the mean of its divisors is an integer number (40260070900).

Almost surely, 2^{7072426313316} 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 7072426313316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11594900419200).

7072426313316 is an abundant number, since it is smaller than the sum of its proper divisors (16117374525084).

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

7072426313316 is a wasteful number, since it uses less digits than its factorization.

7072426313316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 7072426313316 in words is "seven trillion, seventy-two billion, four hundred twenty-six million, three hundred thirteen thousand, three hundred sixteen".