76411109376 has 544 divisors, whose sum is σ = 268433408000. Its totient is φ = 21021327360.

The previous prime is 76411109347. The next prime is 76411109377. The reversal of 76411109376 is 67390111467.

76411109376 is a `hidden beast` number, since 76 + 411 + 10 + 93 + 76 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76411109377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383975325 + ... + 383975523.

Almost surely, 2^76411109376 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 76411109376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134216704000).

76411109376 is an abundant number, since it is smaller than the sum of its proper divisors (192022298624).

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

76411109376 is an equidigital number, since it uses as much as digits as its factorization.

76411109376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 76411109376 in words is "seventy-six billion, four hundred eleven million, one hundred nine thousand, three hundred seventy-six".