7927687424 has 72 divisors (see below), whose sum is σ = 16167324600. Its totient is φ = 3878371328.

The previous prime is 7927687421. The next prime is 7927687483. The reversal of 7927687424 is 4247867297.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1838694400 + 6088993024 = 42880^2 + 78032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7927687424.

It is not an unprimeable number, because it can be changed into a prime (7927687421) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7556852 + ... + 7557900.

It is an arithmetic number, because the mean of its divisors is an integer number (224546175).

Almost surely, 2^7927687424 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 7927687424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8083662300).

7927687424 is an abundant number, since it is smaller than the sum of its proper divisors (8239637176).

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

7927687424 is a wasteful number, since it uses less digits than its factorization.

7927687424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1661 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 56.

The square root of 7927687424 is about 89037.5618713810. The cubic root of 7927687424 is about 1993.9557036424.

The spelling of 7927687424 in words is "seven billion, nine hundred twenty-seven million, six hundred eighty-seven thousand, four hundred twenty-four".