76904425151136 has 288 divisors, whose sum is σ = 251187143014080. Its totient is φ = 22073264640000.

The previous prime is 76904425151119. The next prime is 76904425151137. The reversal of 76904425151136 is 63115152440967.

76904425151136 is a `hidden beast` number, since 7 + 6 + 9 + 0 + 4 + 4 + 2 + 515 + 113 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (76904425151137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296797636 + ... + 297056636.

It is an arithmetic number, because the mean of its divisors is an integer number (872177579910).

Almost surely, 2^{76904425151136} is an apocalyptic number.

76904425151136 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 76904425151136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125593571507040).

76904425151136 is an abundant number, since it is smaller than the sum of its proper divisors (174282717862944).

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

76904425151136 is a wasteful number, since it uses less digits than its factorization.

76904425151136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263980 (or 263969 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 76904425151136 in words is "seventy-six trillion, nine hundred four billion, four hundred twenty-five million, one hundred fifty-one thousand, one hundred thirty-six".