268704244500480 has 864 divisors, whose sum is σ = 1041353820561600. Its totient is φ = 63889929142272.

The previous prime is 268704244500479. The next prime is 268704244500529. The reversal of 268704244500480 is 84005442407862.

It is a happy number.

268704244500480 is a `hidden beast` number, since 2 + 6 + 8 + 70 + 4 + 2 + 44 + 50 + 0 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 505785069 + ... + 506316051.

It is an arithmetic number, because the mean of its divisors is an integer number (1205270625650).

Almost surely, 2^{268704244500480} is an apocalyptic number.

268704244500480 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 268704244500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520676910280800).

268704244500480 is an abundant number, since it is smaller than the sum of its proper divisors (772649576061120).

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

268704244500480 is a wasteful number, since it uses less digits than its factorization.

268704244500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531069 (or 531029 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 268704244500480 in words is "two hundred sixty-eight trillion, seven hundred four billion, two hundred forty-four million, five hundred thousand, four hundred eighty".