7785736681680 has 320 divisors, whose sum is σ = 27625419360000. Its totient is φ = 2014299076608.

The previous prime is 7785736681609. The next prime is 7785736681693. The reversal of 7785736681680 is 861866375877.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7785736681599 and 7785736681608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13557826 + ... + 14120414.

It is an arithmetic number, because the mean of its divisors is an integer number (86329435500).

Almost surely, 2^{7785736681680} 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 7785736681680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13812709680000).

7785736681680 is an abundant number, since it is smaller than the sum of its proper divisors (19839682678320).

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

7785736681680 is a wasteful number, since it uses less digits than its factorization.

7785736681680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562803 (or 562791 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 7785736681680 in words is "seven trillion, seven hundred eighty-five billion, seven hundred thirty-six million, six hundred eighty-one thousand, six hundred eighty".