268574352480 has 384 divisors, whose sum is σ = 1121008896000. Its totient is φ = 58719209472.

The previous prime is 268574352479. The next prime is 268574352481. The reversal of 268574352480 is 84253475862.

268574352480 is a `hidden beast` number, since 2 + 68 + 5 + 74 + 35 + 2 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (268574352479) and next prime (268574352481).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268574352481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 502446 + ... + 888594.

It is an arithmetic number, because the mean of its divisors is an integer number (2919294000).

Almost surely, 2^268574352480 is an apocalyptic number.

268574352480 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 268574352480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560504448000).

268574352480 is an abundant number, since it is smaller than the sum of its proper divisors (852434543520).

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

268574352480 is a wasteful number, since it uses less digits than its factorization.

268574352480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386203 (or 386189 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 268574352480 in words is "two hundred sixty-eight billion, five hundred seventy-four million, three hundred fifty-two thousand, four hundred eighty".