268280642560 has 352 divisors, whose sum is σ = 764038656000. Its totient is φ = 88439586816.

The previous prime is 268280642543. The next prime is 268280642629. The reversal of 268280642560 is 65246082862.

268280642560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 373129881 + ... + 373130599.

Almost surely, 2^268280642560 is an apocalyptic number.

268280642560 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 268280642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382019328000).

268280642560 is an abundant number, since it is smaller than the sum of its proper divisors (495758013440).

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

268280642560 is a wasteful number, since it uses less digits than its factorization.

268280642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 49.

The spelling of 268280642560 in words is "two hundred sixty-eight billion, two hundred eighty million, six hundred forty-two thousand, five hundred sixty".