77436636480000 has 1800 divisors, whose sum is σ = 328272040268172. Its totient is φ = 17514233856000.

The previous prime is 77436636479987. The next prime is 77436636480017. The reversal of 77436636480000 is 8463663477.

It is a happy number.

77436636480000 is a `hidden beast` number, since 7 + 74 + 3 + 66 + 36 + 480 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 20572247920896 + 56864388559104 = 4535664^2 + 7540848^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 13688637172 + ... + 13688642828.

Almost surely, 2^{77436636480000} is an apocalyptic number.

77436636480000 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 77436636480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164136020134086).

77436636480000 is an abundant number, since it is smaller than the sum of its proper divisors (250835403788172).

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

77436636480000 is an equidigital number, since it uses as much as digits as its factorization.

77436636480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5812 (or 5771 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 77436636480000 in words is "seventy-seven trillion, four hundred thirty-six billion, six hundred thirty-six million, four hundred eighty thousand".