268698417792000 has 704 divisors, whose sum is σ = 1065888483139584. Its totient is φ = 58746472857600.

The previous prime is 268698417791989. The next prime is 268698417792019. The reversal of 268698417792000 is 297714896862.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59650909 + ... + 63997091.

Almost surely, 2^{268698417792000} is an apocalyptic number.

268698417792000 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 268698417792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532944241569792).

268698417792000 is an abundant number, since it is smaller than the sum of its proper divisors (797190065347584).

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

268698417792000 is a wasteful number, since it uses less digits than its factorization.

268698417792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4346251 (or 4346223 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 69.

The spelling of 268698417792000 in words is "two hundred sixty-eight trillion, six hundred ninety-eight billion, four hundred seventeen million, seven hundred ninety-two thousand".