268793800704 has 672 divisors, whose sum is σ = 947444752800. Its totient is φ = 75127357440.

The previous prime is 268793800699. The next prime is 268793800711. The reversal of 268793800704 is 407008397862.

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

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 213497227 + ... + 213498485.

It is an arithmetic number, because the mean of its divisors is an integer number (1409888025).

Almost surely, 2^268793800704 is an apocalyptic number.

268793800704 is a gapful number since it is divisible by the number (24) 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 268793800704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473722376400).

268793800704 is an abundant number, since it is smaller than the sum of its proper divisors (678650952096).

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

268793800704 is a wasteful number, since it uses less digits than its factorization.

268793800704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 268793800704 in words is "two hundred sixty-eight billion, seven hundred ninety-three million, eight hundred thousand, seven hundred four".