76135948416 has 192 divisors, whose sum is σ = 246717469440. Its totient is φ = 22327142400.

The previous prime is 76135948411. The next prime is 76135948423. The reversal of 76135948416 is 61484953167.

76135948416 is a `hidden beast` number, since 7 + 6 + 1 + 3 + 594 + 8 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (76135948411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295926 + ... + 489738.

It is an arithmetic number, because the mean of its divisors is an integer number (1284986820).

Almost surely, 2^76135948416 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 76135948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123358734720).

76135948416 is an abundant number, since it is smaller than the sum of its proper divisors (170581521024).

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

76135948416 is a wasteful number, since it uses less digits than its factorization.

76135948416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193875 (or 193860 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 76135948416 in words is "seventy-six billion, one hundred thirty-five million, nine hundred forty-eight thousand, four hundred sixteen".