827268430716 has 192 divisors, whose sum is σ = 2658712089600. Its totient is φ = 216610682112.

The previous prime is 827268430691. The next prime is 827268430753. The reversal of 827268430716 is 617034862728.

827268430716 is a `hidden beast` number, since 8 + 272 + 68 + 4 + 307 + 1 + 6 = 666.

827268430716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1063306 + ... + 1668878.

It is an arithmetic number, because the mean of its divisors is an integer number (13847458800).

Almost surely, 2^827268430716 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 827268430716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329356044800).

827268430716 is an abundant number, since it is smaller than the sum of its proper divisors (1831443658884).

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

827268430716 is a wasteful number, since it uses less digits than its factorization.

827268430716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605745 (or 605737 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 827268430716 in words is "eight hundred twenty-seven billion, two hundred sixty-eight million, four hundred thirty thousand, seven hundred sixteen".