268078579200 has 1080 divisors, whose sum is σ = 1034138857752. Its totient is φ = 66280980480.

The previous prime is 268078579189. The next prime is 268078579201. The reversal of 268078579200 is 2975870862.

It is a happy number.

268078579200 is a `hidden beast` number, since 2 + 68 + 0 + 7 + 8 + 579 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×268078579200² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268078579201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3229862359 + ... + 3229862441.

Almost surely, 2^268078579200 is an apocalyptic number.

268078579200 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 268078579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517069428876).

268078579200 is an abundant number, since it is smaller than the sum of its proper divisors (766060278552).

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

268078579200 is a wasteful number, since it uses less digits than its factorization.

268078579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 268078579200 in words is "two hundred sixty-eight billion, seventy-eight million, five hundred seventy-nine thousand, two hundred".