1179676442880 has 864 divisors, whose sum is σ = 4493701884672. Its totient is φ = 283956019200.

The previous prime is 1179676442849. The next prime is 1179676442891. The reversal of 1179676442880 is 882446769711.

1179676442880 is a `hidden beast` number, since 1 + 1 + 79 + 6 + 7 + 64 + 428 + 80 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2402599435 + ... + 2402599925.

It is an arithmetic number, because the mean of its divisors is an integer number (5201043848).

Almost surely, 2^{1179676442880} is an apocalyptic number.

1179676442880 is a gapful number since it is divisible by the number (10) 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 1179676442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246850942336).

1179676442880 is an abundant number, since it is smaller than the sum of its proper divisors (3314025441792).

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

1179676442880 is a wasteful number, since it uses less digits than its factorization.

1179676442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 1179676442880 in words is "one trillion, one hundred seventy-nine billion, six hundred seventy-six million, four hundred forty-two thousand, eight hundred eighty".