264361200768 has 256 divisors, whose sum is σ = 902709792000. Its totient is φ = 75531211776.

The previous prime is 264361200767. The next prime is 264361200787. The reversal of 264361200768 is 867002163462.

264361200768 is a `hidden beast` number, since 2 + 6 + 436 + 1 + 200 + 7 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (264361200767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1892098 + ... + 2027006.

It is an arithmetic number, because the mean of its divisors is an integer number (3526210125).

Almost surely, 2^264361200768 is an apocalyptic number.

264361200768 is a gapful number since it is divisible by the number (28) 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 264361200768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451354896000).

264361200768 is an abundant number, since it is smaller than the sum of its proper divisors (638348591232).

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

264361200768 is an frugal number, since it uses more digits than its factorization.

264361200768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134951 (or 134921 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 264361200768 in words is "two hundred sixty-four billion, three hundred sixty-one million, two hundred thousand, seven hundred sixty-eight".