7926439680 has 360 divisors, whose sum is σ = 28714316400. Its totient is φ = 2087534592.

The previous prime is 7926439649. The next prime is 7926439709. The reversal of 7926439680 is 869346297.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9227091 + ... + 9227949.

It is an arithmetic number, because the mean of its divisors is an integer number (79761990).

Almost surely, 2^7926439680 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 7926439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14357158200).

7926439680 is an abundant number, since it is smaller than the sum of its proper divisors (20787876720).

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

7926439680 is an equidigital number, since it uses as much as digits as its factorization.

7926439680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 7926439680 is about 89030.5547550952. The cubic root of 7926439680 is about 1993.8510881486.

The spelling of 7926439680 in words is "seven billion, nine hundred twenty-six million, four hundred thirty-nine thousand, six hundred eighty".