268618489920 has 672 divisors, whose sum is σ = 1053674092800. Its totient is φ = 64365649920.

The previous prime is 268618489913. The next prime is 268618489933. The reversal of 268618489920 is 29984816862.

268618489920 is a `hidden beast` number, since 2 + 6 + 8 + 61 + 8 + 489 + 92 + 0 = 666.

It is a super-2 number, since 2×268618489920² (a number of 24 digits) contains 22 as substring.

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, 93042717 + ... + 93045603.

It is an arithmetic number, because the mean of its divisors is an integer number (1567967400).

Almost surely, 2^268618489920 is an apocalyptic number.

268618489920 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 268618489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526837046400).

268618489920 is an abundant number, since it is smaller than the sum of its proper divisors (785055602880).

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

268618489920 is a wasteful number, since it uses less digits than its factorization.

268618489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 268618489920 in words is "two hundred sixty-eight billion, six hundred eighteen million, four hundred eighty-nine thousand, nine hundred twenty".