364200768 has 168 divisors, whose sum is σ = 1120249728. Its totient is φ = 112831488.

The previous prime is 364200761. The next prime is 364200769. The reversal of 364200768 is 867002463.

364200768 is a `hidden beast` number, since 3 + 642 + 0 + 0 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364200761) 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, 489805 + ... + 490547.

Almost surely, 2^364200768 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 364200768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560124864).

364200768 is an abundant number, since it is smaller than the sum of its proper divisors (756048960).

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

364200768 is a wasteful number, since it uses less digits than its factorization.

364200768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 364200768 is about 19084.0448542755. The cubic root of 364200768 is about 714.1349461293.

The spelling of 364200768 in words is "three hundred sixty-four million, two hundred thousand, seven hundred sixty-eight".