76129053336 has 320 divisors, whose sum is σ = 259051668480. Its totient is φ = 20390538240.

The previous prime is 76129053331. The next prime is 76129053361. The reversal of 76129053336 is 63335092167.

76129053336 is a `hidden beast` number, since 7 + 61 + 29 + 0 + 533 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 76129053291 and 76129053300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76129053331) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 20895531 + ... + 20899173.

It is an arithmetic number, because the mean of its divisors is an integer number (809536464).

Almost surely, 2^76129053336 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 76129053336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129525834240).

76129053336 is an abundant number, since it is smaller than the sum of its proper divisors (182922615144).

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

76129053336 is a wasteful number, since it uses less digits than its factorization.

76129053336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 76129053336 in words is "seventy-six billion, one hundred twenty-nine million, fifty-three thousand, three hundred thirty-six".