76313872444128 has 384 divisors, whose sum is σ = 222913140645888. Its totient is φ = 22665000960000.

The previous prime is 76313872444081. The next prime is 76313872444157. The reversal of 76313872444128 is 82144427831367.

It is a happy number.

It is a super-3 number, since 3×76313872444128³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39892248100 + ... + 39892250012.

It is an arithmetic number, because the mean of its divisors is an integer number (580502970432).

Almost surely, 2^{76313872444128} 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 76313872444128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111456570322944).

76313872444128 is an abundant number, since it is smaller than the sum of its proper divisors (146599268201760).

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

76313872444128 is a wasteful number, since it uses less digits than its factorization.

76313872444128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890 (or 3882 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 60.

The spelling of 76313872444128 in words is "seventy-six trillion, three hundred thirteen billion, eight hundred seventy-two million, four hundred forty-four thousand, one hundred twenty-eight".