76419127827360 has 528 divisors, whose sum is σ = 271701180739296. Its totient is φ = 20311283879424.

The previous prime is 76419127827349. The next prime is 76419127827379. The reversal of 76419127827360 is 6372872191467.

76419127827360 is a `hidden beast` number, since 7 + 6 + 4 + 1 + 91 + 278 + 273 + 6 + 0 = 666.

76419127827360 is digitally balanced in base 4, 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 87 ways as a sum of consecutive naturals, for example, 2900473707 + ... + 2900500053.

It is an arithmetic number, because the mean of its divisors is an integer number (514585569582).

Almost surely, 2^{76419127827360} 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 76419127827360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135850590369648).

76419127827360 is an abundant number, since it is smaller than the sum of its proper divisors (195282052911936).

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

76419127827360 is an equidigital number, since it uses as much as digits as its factorization.

76419127827360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26699 (or 26664 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 76419127827360 in words is "seventy-six trillion, four hundred nineteen billion, one hundred twenty-seven million, eight hundred twenty-seven thousand, three hundred sixty".