7785560623680 has 504 divisors, whose sum is σ = 31161225546360. Its totient is φ = 1778982912000.

The previous prime is 7785560623679. The next prime is 7785560623717. The reversal of 7785560623680 is 863260655877.

It is a happy number.

7785560623680 is a `hidden beast` number, since 7 + 7 + 8 + 5 + 560 + 6 + 2 + 3 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 852534595584 + 6933026028096 = 923328^2 + 2633064^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×7785560623680² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 564614226 + ... + 564628014.

It is an arithmetic number, because the mean of its divisors is an integer number (61827828465).

Almost surely, 2^{7785560623680} is an apocalyptic number.

7785560623680 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 7785560623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15580612773180).

7785560623680 is an abundant number, since it is smaller than the sum of its proper divisors (23375664922680).

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

7785560623680 is a wasteful number, since it uses less digits than its factorization.

7785560623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17827 (or 17807 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 7785560623680 in words is "seven trillion, seven hundred eighty-five billion, five hundred sixty million, six hundred twenty-three thousand, six hundred eighty".