268762520448 has 640 divisors, whose sum is σ = 869856261120. Its totient is φ = 82147405824.

The previous prime is 268762520437. The next prime is 268762520479. The reversal of 268762520448 is 844025267862.

268762520448 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 625 + 2 + 0 + 4 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 268762520394 and 268762520403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 732322761 + ... + 732323127.

It is an arithmetic number, because the mean of its divisors is an integer number (1359150408).

Almost surely, 2^268762520448 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 268762520448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434928130560).

268762520448 is an abundant number, since it is smaller than the sum of its proper divisors (601093740672).

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

268762520448 is a wasteful number, since it uses less digits than its factorization.

268762520448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 268762520448 in words is "two hundred sixty-eight billion, seven hundred sixty-two million, five hundred twenty thousand, four hundred forty-eight".