7180877840656 has 135 divisors (see below), whose sum is σ = 15611702276781. Its totient is φ = 3198166013952.

The previous prime is 7180877840557. The next prime is 7180877840657. The reversal of 7180877840656 is 6560487780817.

The square root of 7180877840656 is 2679716.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5954986000656 + 1225891840000 = 2440284^2 + 1107200^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7180877840591 and 7180877840600.

It is not an unprimeable number, because it can be changed into a prime (7180877840657) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 4041010840 + ... + 4041012616.

Almost surely, 2^{7180877840656} is an apocalyptic number.

7180877840656 is the 2679716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7180877840656

7180877840656 is an abundant number, since it is smaller than the sum of its proper divisors (8430824436125).

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

7180877840656 is an equidigital number, since it uses as much as digits as its factorization.

7180877840656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 67.

The spelling of 7180877840656 in words is "seven trillion, one hundred eighty billion, eight hundred seventy-seven million, eight hundred forty thousand, six hundred fifty-six".