7842670205760 has 560 divisors, whose sum is σ = 31350019510656. Its totient is φ = 1846566678528.

The previous prime is 7842670205719. The next prime is 7842670205761. The reversal of 7842670205760 is 675020762487.

7842670205760 is a `hidden beast` number, since 7 + 8 + 4 + 2 + 67 + 0 + 2 + 0 + 576 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7842670205697 and 7842670205706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7842670205761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7244107 + ... + 8256053.

Almost surely, 2^{7842670205760} 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 7842670205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15675009755328).

7842670205760 is an abundant number, since it is smaller than the sum of its proper divisors (23507349304896).

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

7842670205760 is a wasteful number, since it uses less digits than its factorization.

7842670205760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012012 (or 1011993 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 7842670205760 in words is "seven trillion, eight hundred forty-two billion, six hundred seventy million, two hundred five thousand, seven hundred sixty".