857360040768 has 448 divisors, whose sum is σ = 3307816396800. Its totient is φ = 210969722880.

The previous prime is 857360040763. The next prime is 857360040791. The reversal of 857360040768 is 867040063758.

857360040768 is a `hidden beast` number, since 8 + 573 + 6 + 0 + 0 + 4 + 0 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857360040763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2358496 + ... + 2697632.

Almost surely, 2^857360040768 is an apocalyptic number.

857360040768 is a gapful number since it is divisible by the number (88) 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 857360040768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653908198400).

857360040768 is an abundant number, since it is smaller than the sum of its proper divisors (2450456356032).

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

857360040768 is a wasteful number, since it uses less digits than its factorization.

857360040768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339195 (or 339179 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 857360040768 in words is "eight hundred fifty-seven billion, three hundred sixty million, forty thousand, seven hundred sixty-eight".