857696568768 has 1120 divisors, whose sum is σ = 2987836544000. Its totient is φ = 241058488320.

The previous prime is 857696568739. The next prime is 857696568809. The reversal of 857696568768 is 867865696758.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6170478843 + ... + 6170478981.

It is an arithmetic number, because the mean of its divisors is an integer number (2667711200).

Almost surely, 2^857696568768 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 857696568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493918272000).

857696568768 is an abundant number, since it is smaller than the sum of its proper divisors (2130139975232).

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

857696568768 is a wasteful number, since it uses less digits than its factorization.

857696568768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 316 counting only the distinct ones).

The product of its digits is 7315660800, while the sum is 81.

The spelling of 857696568768 in words is "eight hundred fifty-seven billion, six hundred ninety-six million, five hundred sixty-eight thousand, seven hundred sixty-eight".