268430976000 has 1408 divisors, whose sum is σ = 1133041029120. Its totient is φ = 62042112000.

The previous prime is 268430975999. The next prime is 268430976007. The reversal of 268430976000 is 679034862.

268430976000 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 30 + 9 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (268430976007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 874367847 + ... + 874368153.

It is an arithmetic number, because the mean of its divisors is an integer number (804716640).

Almost surely, 2^268430976000 is an apocalyptic number.

268430976000 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 268430976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566520514560).

268430976000 is an abundant number, since it is smaller than the sum of its proper divisors (864610053120).

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

268430976000 is a wasteful number, since it uses less digits than its factorization.

268430976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 268430976000 in words is "two hundred sixty-eight billion, four hundred thirty million, nine hundred seventy-six thousand".