76076532080640 has 4032 divisors, whose sum is σ = 349486475869440. Its totient is φ = 15825237442560.

The previous prime is 76076532080567. The next prime is 76076532080657. The reversal of 76076532080640 is 4608023567067.

76076532080640 is a `hidden beast` number, since 7 + 60 + 7 + 6 + 532 + 0 + 8 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1071500451805 + ... + 1071500451875.

It is an arithmetic number, because the mean of its divisors is an integer number (86678193420).

Almost surely, 2^{76076532080640} is an apocalyptic number.

76076532080640 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 76076532080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174743237934720).

76076532080640 is an abundant number, since it is smaller than the sum of its proper divisors (273409943788800).

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

76076532080640 is an frugal number, since it uses more digits than its factorization.

76076532080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 76076532080640 in words is "seventy-six trillion, seventy-six billion, five hundred thirty-two million, eighty thousand, six hundred forty".