268763876160 has 224 divisors, whose sum is σ = 958921770240. Its totient is φ = 63280791552.

The previous prime is 268763876159. The next prime is 268763876207. The reversal of 268763876160 is 61678367862.

It is a super-2 number, since 2×268763876160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 268763876094 and 268763876103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181125 + ... + 755204.

It is an arithmetic number, because the mean of its divisors is an integer number (4280900760).

Almost surely, 2^268763876160 is an apocalyptic number.

268763876160 is a gapful number since it is divisible by the number (20) 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 268763876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479460885120).

268763876160 is an abundant number, since it is smaller than the sum of its proper divisors (690157894080).

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

268763876160 is a wasteful number, since it uses less digits than its factorization.

268763876160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936385 (or 936375 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 268763876160 in words is "two hundred sixty-eight billion, seven hundred sixty-three million, eight hundred seventy-six thousand, one hundred sixty".