268420073472 has 288 divisors, whose sum is σ = 819290908800. Its totient is φ = 84427702272.

The previous prime is 268420073437. The next prime is 268420073473. The reversal of 268420073472 is 274370024862.

268420073472 is a `hidden beast` number, since 26 + 84 + 200 + 7 + 347 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (268420073473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97006233 + ... + 97008999.

It is an arithmetic number, because the mean of its divisors is an integer number (2844760100).

Almost surely, 2^268420073472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268420073472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409645454400).

268420073472 is an abundant number, since it is smaller than the sum of its proper divisors (550870835328).

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

268420073472 is a wasteful number, since it uses less digits than its factorization.

268420073472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 268420073472 in words is "two hundred sixty-eight billion, four hundred twenty million, seventy-three thousand, four hundred seventy-two".