268336696320 has 1056 divisors, whose sum is σ = 1202568546816. Its totient is φ = 55738368000.

The previous prime is 268336696207. The next prime is 268336696321. The reversal of 268336696320 is 23696633862.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (268336696321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95798920 + ... + 95801720.

Almost surely, 2^268336696320 is an apocalyptic number.

268336696320 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 268336696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601284273408).

268336696320 is an abundant number, since it is smaller than the sum of its proper divisors (934231850496).

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

268336696320 is a wasteful number, since it uses less digits than its factorization.

268336696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 268336696320 in words is "two hundred sixty-eight billion, three hundred thirty-six million, six hundred ninety-six thousand, three hundred twenty".