76068044389440 has 672 divisors, whose sum is σ = 269129833120512. Its totient is φ = 19708600320000.

The previous prime is 76068044389433. The next prime is 76068044389457. The reversal of 76068044389440 is 4498344086067.

76068044389440 is a `hidden beast` number, since 7 + 6 + 0 + 68 + 0 + 443 + 8 + 94 + 40 = 666.

76068044389440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35695937175 + ... + 35695939305.

It is an arithmetic number, because the mean of its divisors is an integer number (400490823096).

Almost surely, 2^{76068044389440} 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 76068044389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134564916560256).

76068044389440 is an abundant number, since it is smaller than the sum of its proper divisors (193061788731072).

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

76068044389440 is a wasteful number, since it uses less digits than its factorization.

76068044389440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 76068044389440 in words is "seventy-six trillion, sixty-eight billion, forty-four million, three hundred eighty-nine thousand, four hundred forty".