268043948480 has 896 divisors, whose sum is σ = 857416347648. Its totient is φ = 77414400000.

The previous prime is 268043948461. The next prime is 268043948519. The reversal of 268043948480 is 84849340862.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2653900430 + ... + 2653900530.

It is an arithmetic number, because the mean of its divisors is an integer number (956937888).

Almost surely, 2^268043948480 is an apocalyptic number.

268043948480 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 268043948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428708173824).

268043948480 is an abundant number, since it is smaller than the sum of its proper divisors (589372399168).

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

268043948480 is a wasteful number, since it uses less digits than its factorization.

268043948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 56.

The spelling of 268043948480 in words is "two hundred sixty-eight billion, forty-three million, nine hundred forty-eight thousand, four hundred eighty".