76108309352064 has 384 divisors, whose sum is σ = 247201830720000. Its totient is φ = 22263909212160.

The previous prime is 76108309352063. The next prime is 76108309352077. The reversal of 76108309352064 is 46025390380167.

76108309352064 is a `hidden beast` number, since 7 + 6 + 108 + 3 + 0 + 9 + 3 + 520 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 76108309352064.

It is not an unprimeable number, because it can be changed into a prime (76108309352063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2571298737 + ... + 2571328335.

It is an arithmetic number, because the mean of its divisors is an integer number (643754767500).

It is a 1-persistent number, because it is pandigital, but 2⋅76108309352064 = 152216618704128 is not.

Almost surely, 2^{76108309352064} 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 76108309352064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123600915360000).

76108309352064 is an abundant number, since it is smaller than the sum of its proper divisors (171093521367936).

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

76108309352064 is a wasteful number, since it uses less digits than its factorization.

76108309352064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36656 (or 36641 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 76108309352064 in words is "seventy-six trillion, one hundred eight billion, three hundred nine million, three hundred fifty-two thousand, sixty-four".