7846842960 has 240 divisors, whose sum is σ = 29417813568. Its totient is φ = 1857945600.

The previous prime is 7846842959. The next prime is 7846842961. The reversal of 7846842960 is 692486487.

It is an interprime number because it is at equal distance from previous prime (7846842959) and next prime (7846842961).

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 7846842897 and 7846842906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7846842961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329040 + ... + 352080.

Almost surely, 2^7846842960 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 7846842960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14708906784).

7846842960 is an abundant number, since it is smaller than the sum of its proper divisors (21570970608).

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

7846842960 is a wasteful number, since it uses less digits than its factorization.

7846842960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23114 (or 23105 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 7846842960 is about 88582.4077342674. The cubic root of 7846842960 is about 1987.1545876535.

The spelling of 7846842960 in words is "seven billion, eight hundred forty-six million, eight hundred forty-two thousand, nine hundred sixty".