364943341728 has 192 divisors, whose sum is σ = 1218371051520. Its totient is φ = 104107251456.

The previous prime is 364943341723. The next prime is 364943341729. The reversal of 364943341728 is 827143349463.

It is a happy number.

364943341728 is a `hidden beast` number, since 36 + 4 + 9 + 433 + 4 + 172 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (364943341723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3866425 + ... + 3959687.

It is an arithmetic number, because the mean of its divisors is an integer number (6345682560).

Almost surely, 2^364943341728 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 364943341728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609185525760).

364943341728 is an abundant number, since it is smaller than the sum of its proper divisors (853427709792).

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

364943341728 is a wasteful number, since it uses less digits than its factorization.

364943341728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93936 (or 93922 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 364943341728 in words is "three hundred sixty-four billion, nine hundred forty-three million, three hundred forty-one thousand, seven hundred twenty-eight".