7842869760 has 640 divisors, whose sum is σ = 29867802624. Its totient is φ = 1734082560.

The previous prime is 7842869753. The next prime is 7842869767. The reversal of 7842869760 is 679682487.

It is an interprime number because it is at equal distance from previous prime (7842869753) and next prime (7842869767).

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 7842869760.

It is not an unprimeable number, because it can be changed into a prime (7842869767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61754817 + ... + 61754943.

Almost surely, 2^7842869760 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 7842869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14933901312).

7842869760 is an abundant number, since it is smaller than the sum of its proper divisors (22024932864).

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

7842869760 is a wasteful number, since it uses less digits than its factorization.

7842869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The square root of 7842869760 is about 88559.9783197805. The cubic root of 7842869760 is about 1986.8191365848.

The spelling of 7842869760 in words is "seven billion, eight hundred forty-two million, eight hundred sixty-nine thousand, seven hundred sixty".