268624928880 has 640 divisors, whose sum is σ = 1163865507840. Its totient is φ = 55320330240.

The previous prime is 268624928879. The next prime is 268624928909. The reversal of 268624928880 is 88829426862.

268624928880 is a `hidden beast` number, since 2 + 6 + 8 + 62 + 492 + 8 + 8 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18787014 + ... + 18801306.

It is an arithmetic number, because the mean of its divisors is an integer number (1818539856).

Almost surely, 2^268624928880 is an apocalyptic number.

268624928880 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 268624928880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581932753920).

268624928880 is an abundant number, since it is smaller than the sum of its proper divisors (895240578960).

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

268624928880 is a wasteful number, since it uses less digits than its factorization.

268624928880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14446 (or 14434 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 268624928880 in words is "two hundred sixty-eight billion, six hundred twenty-four million, nine hundred twenty-eight thousand, eight hundred eighty".