77643567031680 has 1152 divisors, whose sum is σ = 306048714098400. Its totient is φ = 18594757509120.

The previous prime is 77643567031621. The next prime is 77643567031699. The reversal of 77643567031680 is 8613076534677.

It is a happy number.

77643567031680 is a `hidden beast` number, since 7 + 7 + 6 + 4 + 3 + 567 + 0 + 3 + 1 + 68 + 0 = 666.

77643567031680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×77643567031680² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3997908370 + ... + 3997927790.

Almost surely, 2^{77643567031680} 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 77643567031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153024357049200).

77643567031680 is an abundant number, since it is smaller than the sum of its proper divisors (228405147066720).

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

77643567031680 is a wasteful number, since it uses less digits than its factorization.

77643567031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19549 (or 19481 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 77643567031680 in words is "seventy-seven trillion, six hundred forty-three billion, five hundred sixty-seven million, thirty-one thousand, six hundred eighty".