268601437440 has 432 divisors, whose sum is σ = 1118000956800. Its totient is φ = 58162987008.

The previous prime is 268601437409. The next prime is 268601437453. The reversal of 268601437440 is 44734106862.

268601437440 is a `hidden beast` number, since 2 + 6 + 8 + 60 + 143 + 7 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1444506 + ... + 1619814.

Almost surely, 2^268601437440 is an apocalyptic number.

268601437440 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 268601437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559000478400).

268601437440 is an abundant number, since it is smaller than the sum of its proper divisors (849399519360).

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

268601437440 is a wasteful number, since it uses less digits than its factorization.

268601437440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175362 (or 175345 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 268601437440 in words is "two hundred sixty-eight billion, six hundred one million, four hundred thirty-seven thousand, four hundred forty".