7890503472016 has 45 divisors (see below), whose sum is σ = 16804264158129. Its totient is φ = 3586536307200.

The previous prime is 7890503472011. The next prime is 7890503472029. The reversal of 7890503472016 is 6102743050987.

The square root of 7890503472016 is 2809004.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5106677961616 + 2783825510400 = 2259796^2 + 1668480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7890503472011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 123564256 + ... + 123628096.

It is a 2-persistent number, because it is pandigital, and so is 2⋅7890503472016 = 15781006944032, but 3⋅7890503472016 = 23671510416048 is not.

Almost surely, 2^{7890503472016} is an apocalyptic number.

7890503472016 is the 2809004-th square number.

It is an amenable number.

7890503472016 is an abundant number, since it is smaller than the sum of its proper divisors (8913760686113).

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

7890503472016 is an frugal number, since it uses more digits than its factorization.

7890503472016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127712 (or 63854 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 7890503472016 in words is "seven trillion, eight hundred ninety billion, five hundred three million, four hundred seventy-two thousand, sixteen".