76012027615296 has 560 divisors, whose sum is σ = 250805608542720. Its totient is φ = 22662872064000.

The previous prime is 76012027615273. The next prime is 76012027615331. The reversal of 76012027615296 is 69251672021067.

It is a happy number.

76012027615296 is a `hidden beast` number, since 7 + 6 + 0 + 12 + 0 + 2 + 7 + 615 + 2 + 9 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124884826 + ... + 125492006.

It is an arithmetic number, because the mean of its divisors is an integer number (447867158112).

Almost surely, 2^{76012027615296} is an apocalyptic number.

76012027615296 is a gapful number since it is divisible by the number (76) 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 76012027615296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125402804271360).

76012027615296 is an abundant number, since it is smaller than the sum of its proper divisors (174793580927424).

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

76012027615296 is a wasteful number, since it uses less digits than its factorization.

76012027615296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607296 (or 607277 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 76012027615296 in words is "seventy-six trillion, twelve billion, twenty-seven million, six hundred fifteen thousand, two hundred ninety-six".