268564842000 has 2560 divisors, whose sum is σ = 1281197998080. Its totient is φ = 52254720000.

The previous prime is 268564841989. The next prime is 268564842017. The reversal of 268564842000 is 248465862.

268564842000 is a `hidden beast` number, since 2 + 6 + 8 + 564 + 84 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 6245693979 + ... + 6245694021.

It is an arithmetic number, because the mean of its divisors is an integer number (500467968).

Almost surely, 2^268564842000 is an apocalyptic number.

268564842000 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 268564842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640598999040).

268564842000 is an abundant number, since it is smaller than the sum of its proper divisors (1012633156080).

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

268564842000 is a wasteful number, since it uses less digits than its factorization.

268564842000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 268564842000 in words is "two hundred sixty-eight billion, five hundred sixty-four million, eight hundred forty-two thousand".