268763862240 has 384 divisors, whose sum is σ = 949572771840. Its totient is φ = 70995916800.

The previous prime is 268763862221. The next prime is 268763862251. The reversal of 268763862240 is 42268367862.

268763862240 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 6 + 3 + 8 + 622 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253311310 + ... + 253312370.

It is an arithmetic number, because the mean of its divisors is an integer number (2472845760).

Almost surely, 2^268763862240 is an apocalyptic number.

268763862240 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 268763862240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474786385920).

268763862240 is an abundant number, since it is smaller than the sum of its proper divisors (680808909600).

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

268763862240 is a wasteful number, since it uses less digits than its factorization.

268763862240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 268763862240 in words is "two hundred sixty-eight billion, seven hundred sixty-three million, eight hundred sixty-two thousand, two hundred forty".