76837346384128 has 288 divisors, whose sum is σ = 171058164076800. Its totient is φ = 34152490598400.

The previous prime is 76837346384119. The next prime is 76837346384131. The reversal of 76837346384128 is 82148364373867.

It is a super-2 number, since 2×76837346384128² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36781878508 + ... + 36781880596.

It is an arithmetic number, because the mean of its divisors is an integer number (593951958600).

Almost surely, 2^{76837346384128} 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 76837346384128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85529082038400).

76837346384128 is an abundant number, since it is smaller than the sum of its proper divisors (94220817692672).

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

76837346384128 is a wasteful number, since it uses less digits than its factorization.

76837346384128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3315 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 70.

The spelling of 76837346384128 in words is "seventy-six trillion, eight hundred thirty-seven billion, three hundred forty-six million, three hundred eighty-four thousand, one hundred twenty-eight".