77114388842064 has 640 divisors, whose sum is σ = 265163171328000. Its totient is φ = 21000837537792.

The previous prime is 77114388842017. The next prime is 77114388842069. The reversal of 77114388842064 is 46024888341177.

77114388842064 is a `hidden beast` number, since 7 + 7 + 1 + 143 + 8 + 8 + 8 + 420 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 77114388841992 and 77114388842010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77114388842069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1051011972 + ... + 1051085340.

It is an arithmetic number, because the mean of its divisors is an integer number (414317455200).

Almost surely, 2^{77114388842064} 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 77114388842064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132581585664000).

77114388842064 is an abundant number, since it is smaller than the sum of its proper divisors (188048782485936).

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

77114388842064 is a wasteful number, since it uses less digits than its factorization.

77114388842064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73632 (or 73620 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 77114388842064 in words is "seventy-seven trillion, one hundred fourteen billion, three hundred eighty-eight million, eight hundred forty-two thousand, sixty-four".