364801790080 has 1024 divisors, whose sum is σ = 1173561016320. Its totient is φ = 105345515520.

The previous prime is 364801790077. The next prime is 364801790099. The reversal of 364801790080 is 80097108463.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 364801790080.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2872454977 + ... + 2872455103.

It is an arithmetic number, because the mean of its divisors is an integer number (1146055680).

Almost surely, 2^364801790080 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 364801790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586780508160).

364801790080 is an abundant number, since it is smaller than the sum of its proper divisors (808759226240).

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

364801790080 is a wasteful number, since it uses less digits than its factorization.

364801790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 364801790080 in words is "three hundred sixty-four billion, eight hundred one million, seven hundred ninety thousand, eighty".