7842260920320 has 768 divisors, whose sum is σ = 28841044377600. Its totient is φ = 2019241820160.

The previous prime is 7842260920309. The next prime is 7842260920321. The reversal of 7842260920320 is 230290622487.

7842260920320 is a `hidden beast` number, since 7 + 8 + 4 + 2 + 2 + 609 + 2 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7842260920321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5511075129 + ... + 5511076551.

It is an arithmetic number, because the mean of its divisors is an integer number (37553443200).

Almost surely, 2^{7842260920320} 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 7842260920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14420522188800).

7842260920320 is an abundant number, since it is smaller than the sum of its proper divisors (20998783457280).

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

7842260920320 is a wasteful number, since it uses less digits than its factorization.

7842260920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 7842260920320 in words is "seven trillion, eight hundred forty-two billion, two hundred sixty million, nine hundred twenty thousand, three hundred twenty".