268372769280 has 320 divisors, whose sum is σ = 1069659537408. Its totient is φ = 55765647360.

The previous prime is 268372769261. The next prime is 268372769309. The reversal of 268372769280 is 82967273862.

268372769280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×268372769280² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364449 + ... + 818271.

Almost surely, 2^268372769280 is an apocalyptic number.

268372769280 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 268372769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534829768704).

268372769280 is an abundant number, since it is smaller than the sum of its proper divisors (801286768128).

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

268372769280 is a wasteful number, since it uses less digits than its factorization.

268372769280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453867 (or 453851 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 268372769280 in words is "two hundred sixty-eight billion, three hundred seventy-two million, seven hundred sixty-nine thousand, two hundred eighty".