7685828014080 has 832 divisors, whose sum is σ = 26465805112320. Its totient is φ = 1897641541632.

The previous prime is 7685828014069. The next prime is 7685828014147. The reversal of 7685828014080 is 804108285867.

It is a self number, because there is not a number n which added to its sum of digits gives 7685828014080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24245514082 + ... + 24245514398.

Almost surely, 2^{7685828014080} 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 7685828014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13232902556160).

7685828014080 is an abundant number, since it is smaller than the sum of its proper divisors (18779977098240).

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

7685828014080 is a wasteful number, since it uses less digits than its factorization.

7685828014080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 57.

The spelling of 7685828014080 in words is "seven trillion, six hundred eighty-five billion, eight hundred twenty-eight million, fourteen thousand, eighty".