268547954688 has 864 divisors, whose sum is σ = 907798993920. Its totient is φ = 79188295680.

The previous prime is 268547954659. The next prime is 268547954723. The reversal of 268547954688 is 886459745862.

268547954688 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 4 + 79 + 546 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2607261645 + ... + 2607261747.

It is an arithmetic number, because the mean of its divisors is an integer number (1050693280).

Almost surely, 2^268547954688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268547954688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453899496960).

268547954688 is an abundant number, since it is smaller than the sum of its proper divisors (639251039232).

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

268547954688 is a wasteful number, since it uses less digits than its factorization.

268547954688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 152 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 72.

The spelling of 268547954688 in words is "two hundred sixty-eight billion, five hundred forty-seven million, nine hundred fifty-four thousand, six hundred eighty-eight".