268160734800 has 360 divisors, whose sum is σ = 1081565983680. Its totient is φ = 60254668800.

The previous prime is 268160734783. The next prime is 268160734817. The reversal of 268160734800 is 8437061862.

268160734800 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 607 + 34 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (268160734783) and next prime (268160734817).

It is a tau number, because it is divible by the number of its divisors (360).

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, 1396620 + ... + 1576980.

Almost surely, 2^268160734800 is an apocalyptic number.

268160734800 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 268160734800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540782991840).

268160734800 is an abundant number, since it is smaller than the sum of its proper divisors (813405248880).

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

268160734800 is a wasteful number, since it uses less digits than its factorization.

268160734800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180451 (or 180437 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 268160734800 in words is "two hundred sixty-eight billion, one hundred sixty million, seven hundred thirty-four thousand, eight hundred".