76108032000000 has 5040 divisors, whose sum is σ = 381321081527680. Its totient is φ = 14598144000000.

The previous prime is 76108031999977. The next prime is 76108032000023. The reversal of 76108032000000 is 23080167.

It is an interprime number because it is at equal distance from previous prime (76108031999977) and next prime (76108032000023).

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 335 ways as a sum of consecutive naturals, for example, 5854463999994 + ... + 5854464000006.

Almost surely, 2^{76108032000000} is an apocalyptic number.

76108032000000 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 76108032000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190660540763840).

76108032000000 is an abundant number, since it is smaller than the sum of its proper divisors (305213049527680).

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

76108032000000 is an frugal number, since it uses more digits than its factorization.

76108032000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 76108032000000 its reverse (23080167), we get a palindrome (76108055080167).

The spelling of 76108032000000 in words is "seventy-six trillion, one hundred eight billion, thirty-two million", and thus it is an aban number.