268492653600 has 288 divisors, whose sum is σ = 896882595840. Its totient is φ = 69728547840.

The previous prime is 268492653599. The next prime is 268492653601. The reversal of 268492653600 is 6356294862.

It is an interprime number because it is at equal distance from previous prime (268492653599) and next prime (268492653601).

It is not an unprimeable number, because it can be changed into a prime (268492653601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37045177 + ... + 37052423.

It is an arithmetic number, because the mean of its divisors is an integer number (3114175680).

Almost surely, 2^268492653600 is an apocalyptic number.

268492653600 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 268492653600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448441297920).

268492653600 is an abundant number, since it is smaller than the sum of its proper divisors (628389942240).

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

268492653600 is a wasteful number, since it uses less digits than its factorization.

268492653600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7672 (or 7659 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 268492653600 in words is "two hundred sixty-eight billion, four hundred ninety-two million, six hundred fifty-three thousand, six hundred".