76106114248320 has 2048 divisors, whose sum is σ = 302748209971200. Its totient is φ = 17949585899520.

The previous prime is 76106114248291. The next prime is 76106114248327. The reversal of 76106114248320 is 2384241160167.

76106114248320 is a `hidden beast` number, since 7 + 6 + 1 + 0 + 6 + 1 + 142 + 483 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (76106114248327) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 191703058362 + ... + 191703058758.

It is an arithmetic number, because the mean of its divisors is an integer number (147826274400).

Almost surely, 2^{76106114248320} 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 76106114248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151374104985600).

76106114248320 is an abundant number, since it is smaller than the sum of its proper divisors (226642095722880).

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

76106114248320 is a wasteful number, since it uses less digits than its factorization.

76106114248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 76106114248320 in words is "seventy-six trillion, one hundred six billion, one hundred fourteen million, two hundred forty-eight thousand, three hundred twenty".