268480396800 has 2880 divisors, whose sum is σ = 1329814886400. Its totient is φ = 51956121600.

The previous prime is 268480396799. The next prime is 268480396829. The reversal of 268480396800 is 8693084862.

268480396800 is a `hidden beast` number, since 26 + 84 + 80 + 396 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4550515171 + ... + 4550515229.

It is an arithmetic number, because the mean of its divisors is an integer number (461741280).

Almost surely, 2^268480396800 is an apocalyptic number.

268480396800 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 268480396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664907443200).

268480396800 is an abundant number, since it is smaller than the sum of its proper divisors (1061334489600).

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

268480396800 is a wasteful number, since it uses less digits than its factorization.

268480396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 106 counting only the distinct ones).

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

The spelling of 268480396800 in words is "two hundred sixty-eight billion, four hundred eighty million, three hundred ninety-six thousand, eight hundred".