268236783360 has 1728 divisors, whose sum is σ = 1251869875200. Its totient is φ = 52816084992.

The previous prime is 268236783313. The next prime is 268236783371. The reversal of 268236783360 is 63387632862.

It is a happy number.

268236783360 is a `hidden beast` number, since 2 + 6 + 8 + 236 + 78 + 336 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 = 268236783297 and 268236783306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4003534047 + ... + 4003534113.

Almost surely, 2^268236783360 is an apocalyptic number.

268236783360 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 268236783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625934937600).

268236783360 is an abundant number, since it is smaller than the sum of its proper divisors (983633091840).

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

268236783360 is a wasteful number, since it uses less digits than its factorization.

268236783360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 268236783360 in words is "two hundred sixty-eight billion, two hundred thirty-six million, seven hundred eighty-three thousand, three hundred sixty".