7828496311680 has 2048 divisors, whose sum is σ = 33149100441600. Its totient is φ = 1724545105920.

The previous prime is 7828496311667. The next prime is 7828496311681. The reversal of 7828496311680 is 861136948287.

7828496311680 is a `hidden beast` number, since 7 + 8 + 28 + 496 + 3 + 116 + 8 + 0 = 666.

It is a super-2 number, since 2×7828496311680² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7828496311681) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14311693167 + ... + 14311693713.

It is an arithmetic number, because the mean of its divisors is an integer number (16186084200).

Almost surely, 2^{7828496311680} 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 7828496311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16574550220800).

7828496311680 is an abundant number, since it is smaller than the sum of its proper divisors (25320604129920).

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

7828496311680 is a wasteful number, since it uses less digits than its factorization.

7828496311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 7828496311680 in words is "seven trillion, eight hundred twenty-eight billion, four hundred ninety-six million, three hundred eleven thousand, six hundred eighty".