268128662400 has 960 divisors, whose sum is σ = 1022695146000. Its totient is φ = 69146542080.

The previous prime is 268128662371. The next prime is 268128662411. The reversal of 268128662400 is 4266821862.

268128662400 is a `hidden beast` number, since 2 + 6 + 8 + 12 + 8 + 6 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 1361059102 + ... + 1361059298.

Almost surely, 2^268128662400 is an apocalyptic number.

268128662400 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 268128662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511347573000).

268128662400 is an abundant number, since it is smaller than the sum of its proper divisors (754566483600).

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

268128662400 is a wasteful number, since it uses less digits than its factorization.

268128662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 268128662400 in words is "two hundred sixty-eight billion, one hundred twenty-eight million, six hundred sixty-two thousand, four hundred".