7890413584 has 45 divisors (see below), whose sum is σ = 15618841693. Its totient is φ = 3861530816.

The previous prime is 7890413519. The next prime is 7890413591. The reversal of 7890413584 is 4853140987.

The square root of 7890413584 is 88828.

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., 5688176400 + 2202237184 = 75420^2 + 46928^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18831327 + ... + 18831745.

Almost surely, 2^7890413584 is an apocalyptic number.

7890413584 is the 88828-th square number.

It is an amenable number.

7890413584 is a deficient number, since it is larger than the sum of its proper divisors (7728428109).

7890413584 is an frugal number, since it uses more digits than its factorization.

7890413584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The cubic root of 7890413584 is about 1990.8257798557.

Multiplying 7890413584 by its sum of digits (49), we get a square (386630265616 = 621796²).

The spelling of 7890413584 in words is "seven billion, eight hundred ninety million, four hundred thirteen thousand, five hundred eighty-four".