268400678400 has 720 divisors, whose sum is σ = 1050078826368. Its totient is φ = 65175552000.

The previous prime is 268400678323. The next prime is 268400678411. The reversal of 268400678400 is 4876004862.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 60708190 + ... + 60712610.

Almost surely, 2^268400678400 is an apocalyptic number.

268400678400 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 268400678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525039413184).

268400678400 is an abundant number, since it is smaller than the sum of its proper divisors (781678147968).

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

268400678400 is a wasteful number, since it uses less digits than its factorization.

268400678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 268400678400 in words is "two hundred sixty-eight billion, four hundred million, six hundred seventy-eight thousand, four hundred".