7860823408656 has 225 divisors, whose sum is σ = 24017834102031. Its totient is φ = 2481759684288.

The previous prime is 7860823408621. The next prime is 7860823408663. The reversal of 7860823408656 is 6568043280687.

The square root of 7860823408656 is 2803716.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 7860823408593 and 7860823408602.

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 44 ways as a sum of consecutive naturals, for example, 1917739695 + ... + 1917743793.

Almost surely, 2^{7860823408656} is an apocalyptic number.

7860823408656 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

7860823408656 is the 2803716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7860823408656

7860823408656 is an abundant number, since it is smaller than the sum of its proper divisors (16157010693375).

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

7860823408656 is an frugal number, since it uses more digits than its factorization.

7860823408656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8256 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 7860823408656 in words is "seven trillion, eight hundred sixty billion, eight hundred twenty-three million, four hundred eight thousand, six hundred fifty-six".