76435001680128 has 1440 divisors, whose sum is σ = 267622637614080. Its totient is φ = 19227507425280.

The previous prime is 76435001680087. The next prime is 76435001680181. The reversal of 76435001680128 is 82108610053467.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 54247693888 + ... + 54247695296.

Almost surely, 2^{76435001680128} is an apocalyptic number.

76435001680128 is a gapful number since it is divisible by the number (78) 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 76435001680128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133811318807040).

76435001680128 is an abundant number, since it is smaller than the sum of its proper divisors (191187635933952).

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

76435001680128 is a wasteful number, since it uses less digits than its factorization.

76435001680128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 76435001680128 in words is "seventy-six trillion, four hundred thirty-five billion, one million, six hundred eighty thousand, one hundred twenty-eight".