7681391847360 has 2016 divisors, whose sum is σ = 35000291289600. Its totient is φ = 1501930045440.

The previous prime is 7681391847313. The next prime is 7681391847361. The reversal of 7681391847360 is 637481931867.

7681391847360 is a `hidden beast` number, since 7 + 6 + 8 + 13 + 91 + 8 + 473 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7681391847361) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18332677231 + ... + 18332677649.

It is an arithmetic number, because the mean of its divisors is an integer number (17361255600).

Almost surely, 2^{7681391847360} is an apocalyptic number.

7681391847360 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 7681391847360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17500145644800).

7681391847360 is an abundant number, since it is smaller than the sum of its proper divisors (27318899442240).

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

7681391847360 is a wasteful number, since it uses less digits than its factorization.

7681391847360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 7681391847360 in words is "seven trillion, six hundred eighty-one billion, three hundred ninety-one million, eight hundred forty-seven thousand, three hundred sixty".