76461856128 has 192 divisors, whose sum is σ = 259571819520. Its totient is φ = 21141457920.

The previous prime is 76461856109. The next prime is 76461856129. The reversal of 76461856128 is 82165816467.

76461856128 is a `hidden beast` number, since 7 + 6 + 4 + 6 + 18 + 5 + 612 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76461856129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97051 + ... + 402917.

It is an arithmetic number, because the mean of its divisors is an integer number (1351936560).

Almost surely, 2^76461856128 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 76461856128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129785909760).

76461856128 is an abundant number, since it is smaller than the sum of its proper divisors (183109963392).

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

76461856128 is a wasteful number, since it uses less digits than its factorization.

76461856128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305925 (or 305910 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 76461856128 in words is "seventy-six billion, four hundred sixty-one million, eight hundred fifty-six thousand, one hundred twenty-eight".