268837876320 has 192 divisors, whose sum is σ = 912657896640. Its totient is φ = 66126348288.

The previous prime is 268837876303. The next prime is 268837876327. The reversal of 268837876320 is 23678738862.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268837876327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8776872 + ... + 8807448.

It is an arithmetic number, because the mean of its divisors is an integer number (4753426545).

Almost surely, 2^268837876320 is an apocalyptic number.

268837876320 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 268837876320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456328948320).

268837876320 is an abundant number, since it is smaller than the sum of its proper divisors (643820020320).

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

268837876320 is a wasteful number, since it uses less digits than its factorization.

268837876320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32017 (or 32009 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 268837876320 in words is "two hundred sixty-eight billion, eight hundred thirty-seven million, eight hundred seventy-six thousand, three hundred twenty".