828579770616960 has 768 divisors, whose sum is σ = 3142117333555200. Its totient is φ = 207929539952640.

The previous prime is 828579770616953. The next prime is 828579770616971. The reversal of 828579770616960 is 69616077975828.

828579770616960 is a `hidden beast` number, since 8 + 28 + 579 + 7 + 7 + 0 + 6 + 16 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 828579770616960.

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, 25885821436 + ... + 25885853444.

It is an arithmetic number, because the mean of its divisors is an integer number (4091298611400).

Almost surely, 2^{828579770616960} is an apocalyptic number.

828579770616960 is a gapful number since it is divisible by the number (80) 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 828579770616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571058666777600).

828579770616960 is an abundant number, since it is smaller than the sum of its proper divisors (2313537562938240).

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

828579770616960 is a wasteful number, since it uses less digits than its factorization.

828579770616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41851 (or 41827 counting only the distinct ones).

The product of its (nonzero) digits is 3840721920, while the sum is 81.

The spelling of 828579770616960 in words is "eight hundred twenty-eight trillion, five hundred seventy-nine billion, seven hundred seventy million, six hundred sixteen thousand, nine hundred sixty".