268155836928 has 800 divisors, whose sum is σ = 958258667520. Its totient is φ = 73047121920.

The previous prime is 268155836911. The next prime is 268155836951. The reversal of 268155836928 is 829638551862.

268155836928 is a `hidden beast` number, since 26 + 8 + 1 + 5 + 583 + 6 + 9 + 28 = 666.

268155836928 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×268155836928² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 746952013 + ... + 746952371.

Almost surely, 2^268155836928 is an apocalyptic number.

268155836928 is a gapful number since it is divisible by the number (28) 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 268155836928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479129333760).

268155836928 is an abundant number, since it is smaller than the sum of its proper divisors (690102830592).

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

268155836928 is an equidigital number, since it uses as much as digits as its factorization.

268155836928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 485 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 268155836928 in words is "two hundred sixty-eight billion, one hundred fifty-five million, eight hundred thirty-six thousand, nine hundred twenty-eight".