7842493680 has 160 divisors (see below), whose sum is σ = 27952210944. Its totient is φ = 1781772288.

The previous prime is 7842493667. The next prime is 7842493699. The reversal of 7842493680 is 863942487.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266584 + ... + 294536.

Almost surely, 2^7842493680 is an apocalyptic number.

7842493680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7842493680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13976105472).

7842493680 is an abundant number, since it is smaller than the sum of its proper divisors (20109717264).

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

7842493680 is a wasteful number, since it uses less digits than its factorization.

7842493680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28143 (or 28137 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The square root of 7842493680 is about 88557.8549875730. The cubic root of 7842493680 is about 1986.7873788691.

The spelling of 7842493680 in words is "seven billion, eight hundred forty-two million, four hundred ninety-three thousand, six hundred eighty".