77552640000000 has 2720 divisors, whose sum is σ = 334537391238336. Its totient is φ = 17694720000000.

The previous prime is 77552639999977. The next prime is 77552640000013. The reversal of 77552640000000 is 4625577.

77552640000000 is a `hidden beast` number, since 7 + 7 + 5 + 5 + 2 + 640 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 77552640000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4561919999992 + ... + 4561920000008.

Almost surely, 2^{77552640000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77552640000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167268695619168).

77552640000000 is an abundant number, since it is smaller than the sum of its proper divisors (256984751238336).

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

77552640000000 is an frugal number, since it uses more digits than its factorization.

77552640000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

Adding to 77552640000000 its reverse (4625577), we get a palindrome (77552644625577).

The spelling of 77552640000000 in words is "seventy-seven trillion, five hundred fifty-two billion, six hundred forty million", and thus it is an aban number.