264768768 has 216 divisors, whose sum is σ = 862208256. Its totient is φ = 77414400.

The previous prime is 264768701. The next prime is 264768769. The reversal of 264768768 is 867867462.

Its product of digits (5419008) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264768769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 785496 + ... + 785832.

Almost surely, 2^264768768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264768768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431104128).

264768768 is an abundant number, since it is smaller than the sum of its proper divisors (597439488).

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

264768768 is a wasteful number, since it uses less digits than its factorization.

264768768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 384 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 264768768 is about 16271.7168116951. The cubic root of 264768768 is about 642.1289518826.

The spelling of 264768768 in words is "two hundred sixty-four million, seven hundred sixty-eight thousand, seven hundred sixty-eight".