268002675600 has 240 divisors, whose sum is σ = 966760218624. Its totient is φ = 62874432000.

The previous prime is 268002675467. The next prime is 268002675613. The reversal of 268002675600 is 6576200862.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81729 + ... + 736671.

Almost surely, 2^268002675600 is an apocalyptic number.

268002675600 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 268002675600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483380109312).

268002675600 is an abundant number, since it is smaller than the sum of its proper divisors (698757543024).

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

268002675600 is a wasteful number, since it uses less digits than its factorization.

268002675600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655006 (or 654995 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 268002675600 in words is "two hundred sixty-eight billion, two million, six hundred seventy-five thousand, six hundred".