268696814400 has 504 divisors, whose sum is σ = 1148894710080. Its totient is φ = 58183557120.

The previous prime is 268696814383. The next prime is 268696814417. The reversal of 268696814400 is 4418696862.

268696814400 is a `hidden beast` number, since 2 + 68 + 69 + 6 + 81 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (268696814383) and next prime (268696814417).

It is a tau number, because it is divible by the number of its divisors (504).

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, 1845052 + ... + 1985348.

Almost surely, 2^268696814400 is an apocalyptic number.

268696814400 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 268696814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574447355040).

268696814400 is an abundant number, since it is smaller than the sum of its proper divisors (880197895680).

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

268696814400 is a wasteful number, since it uses less digits than its factorization.

268696814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140351 (or 140333 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 268696814400 in words is "two hundred sixty-eight billion, six hundred ninety-six million, eight hundred fourteen thousand, four hundred".