268753642780 has 72 divisors (see below), whose sum is σ = 657099910656. Its totient is φ = 92063664000.

The previous prime is 268753642771. The next prime is 268753642813. The reversal of 268753642780 is 87246357862.

It is a happy number.

268753642780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×268753642780² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1008850 + ... + 1247110.

It is an arithmetic number, because the mean of its divisors is an integer number (9126387648).

Almost surely, 2^268753642780 is an apocalyptic number.

268753642780 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 268753642780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328549955328).

268753642780 is an abundant number, since it is smaller than the sum of its proper divisors (388346267876).

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

268753642780 is a wasteful number, since it uses less digits than its factorization.

268753642780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239435 (or 239426 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 58.

The spelling of 268753642780 in words is "two hundred sixty-eight billion, seven hundred fifty-three million, six hundred forty-two thousand, seven hundred eighty".