268977822612480 has 704 divisors, whose sum is σ = 1007809905484800. Its totient is φ = 67844184145920.

The previous prime is 268977822612449. The next prime is 268977822612497. The reversal of 268977822612480 is 84216228779862.

268977822612480 is a `hidden beast` number, since 2 + 6 + 8 + 9 + 7 + 7 + 82 + 2 + 61 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 268977822612399 and 268977822612408.

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, 1657278214 + ... + 1657440506.

It is an arithmetic number, because the mean of its divisors is an integer number (1431548161200).

Almost surely, 2^{268977822612480} is an apocalyptic number.

268977822612480 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 268977822612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503904952742400).

268977822612480 is an abundant number, since it is smaller than the sum of its proper divisors (738832082872320).

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

268977822612480 is a wasteful number, since it uses less digits than its factorization.

268977822612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162977 (or 162953 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 268977822612480 in words is "two hundred sixty-eight trillion, nine hundred seventy-seven billion, eight hundred twenty-two million, six hundred twelve thousand, four hundred eighty".