268890710400 has 960 divisors, whose sum is σ = 1076642028000. Its totient is φ = 65691648000.

The previous prime is 268890710357. The next prime is 268890710423. The reversal of 268890710400 is 4017098862.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 670550200 + ... + 670550600.

Almost surely, 2^268890710400 is an apocalyptic number.

268890710400 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 268890710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538321014000).

268890710400 is an abundant number, since it is smaller than the sum of its proper divisors (807751317600).

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

268890710400 is a wasteful number, since it uses less digits than its factorization.

268890710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 268890710400 in words is "two hundred sixty-eight billion, eight hundred ninety million, seven hundred ten thousand, four hundred".