268966304006400 has 4320 divisors, whose sum is σ = 1339050093308928. Its totient is φ = 51443726745600.

The previous prime is 268966304006359. The next prime is 268966304006471. The reversal of 268966304006400 is 4600403669862.

268966304006400 is a `hidden beast` number, since 2 + 68 + 96 + 6 + 30 + 400 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 304605100359 + ... + 304605101241.

Almost surely, 2^{268966304006400} is an apocalyptic number.

268966304006400 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 268966304006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669525046654464).

268966304006400 is an abundant number, since it is smaller than the sum of its proper divisors (1070083789302528).

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

268966304006400 is a wasteful number, since it uses less digits than its factorization.

268966304006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 268966304006400 in words is "two hundred sixty-eight trillion, nine hundred sixty-six billion, three hundred four million, six thousand, four hundred".