268436436480 has 400 divisors, whose sum is σ = 975049583904. Its totient is φ = 70570967040.

The previous prime is 268436436473. The next prime is 268436436487. The reversal of 268436436480 is 84634634862.

268436436480 is a `hidden beast` number, since 2 + 68 + 43 + 64 + 3 + 6 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (268436436473) and next prime (268436436487).

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 (268436436487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14713444 + ... + 14731676.

Almost surely, 2^268436436480 is an apocalyptic number.

268436436480 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 268436436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487524791952).

268436436480 is an abundant number, since it is smaller than the sum of its proper divisors (706613147424).

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

268436436480 is an equidigital number, since it uses as much as digits as its factorization.

268436436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18339 (or 18314 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 268436436480 in words is "two hundred sixty-eight billion, four hundred thirty-six million, four hundred thirty-six thousand, four hundred eighty".