7684298727768 has 480 divisors, whose sum is σ = 23798515078800. Its totient is φ = 2302789741056.

The previous prime is 7684298727701. The next prime is 7684298727773. The reversal of 7684298727768 is 8677278924867.

It is a happy number.

7684298727768 is a `hidden beast` number, since 7 + 68 + 429 + 8 + 7 + 2 + 77 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9641528746 + ... + 9641529542.

Almost surely, 2^{7684298727768} is an apocalyptic number.

7684298727768 is a gapful number since it is divisible by the number (78) 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 7684298727768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11899257539400).

7684298727768 is an abundant number, since it is smaller than the sum of its proper divisors (16114216351032).

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

7684298727768 is a wasteful number, since it uses less digits than its factorization.

7684298727768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1477 counting only the distinct ones).

The product of its digits is 6372753408, while the sum is 81.

The spelling of 7684298727768 in words is "seven trillion, six hundred eighty-four billion, two hundred ninety-eight million, seven hundred twenty-seven thousand, seven hundred sixty-eight".