268533397440 has 672 divisors, whose sum is σ = 1162419807744. Its totient is φ = 55272775680.

The previous prime is 268533397439. The next prime is 268533397493. The reversal of 268533397440 is 44793335862.

268533397440 is a `hidden beast` number, since 2 + 6 + 8 + 533 + 39 + 74 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×268533397440² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23722662 + ... + 23733978.

Almost surely, 2^268533397440 is an apocalyptic number.

268533397440 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 268533397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581209903872).

268533397440 is an abundant number, since it is smaller than the sum of its proper divisors (893886410304).

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

268533397440 is a wasteful number, since it uses less digits than its factorization.

268533397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11465 (or 11452 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 268533397440 in words is "two hundred sixty-eight billion, five hundred thirty-three million, three hundred ninety-seven thousand, four hundred forty".