268952426568 has 960 divisors, whose sum is σ = 970126502400. Its totient is φ = 69132994560.

The previous prime is 268952426557. The next prime is 268952426579. The reversal of 268952426568 is 865624259862.

268952426568 is a `hidden beast` number, since 2 + 6 + 89 + 524 + 26 + 5 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (268952426557) and next prime (268952426579).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1365240646 + ... + 1365240842.

It is an arithmetic number, because the mean of its divisors is an integer number (1010548440).

Almost surely, 2^268952426568 is an apocalyptic number.

268952426568 is a gapful number since it is divisible by the number (28) 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 268952426568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485063251200).

268952426568 is an abundant number, since it is smaller than the sum of its proper divisors (701174075832).

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

268952426568 is a wasteful number, since it uses less digits than its factorization.

268952426568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 332 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 268952426568 in words is "two hundred sixty-eight billion, nine hundred fifty-two million, four hundred twenty-six thousand, five hundred sixty-eight".