268413848640 has 672 divisors, whose sum is σ = 1123619986944. Its totient is φ = 57410519040.

The previous prime is 268413848639. The next prime is 268413848671. The reversal of 268413848640 is 46848314862.

It is a happy number.

268413848640 is a `hidden beast` number, since 26 + 8 + 4 + 138 + 486 + 4 + 0 = 666.

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

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, 62030157 + ... + 62034483.

It is an arithmetic number, because the mean of its divisors is an integer number (1672053552).

Almost surely, 2^268413848640 is an apocalyptic number.

268413848640 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 268413848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561809993472).

268413848640 is an abundant number, since it is smaller than the sum of its proper divisors (855206138304).

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

268413848640 is a wasteful number, since it uses less digits than its factorization.

268413848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 268413848640 in words is "two hundred sixty-eight billion, four hundred thirteen million, eight hundred forty-eight thousand, six hundred forty".