364820400000 has 1152 divisors, whose sum is σ = 1551320709120. Its totient is φ = 80524800000.

The previous prime is 364820399987. The next prime is 364820400011. The reversal of 364820400000 is 4028463.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 781199767 + ... + 781200233.

It is an arithmetic number, because the mean of its divisors is an integer number (1346632560).

Almost surely, 2^364820400000 is an apocalyptic number.

364820400000 is a gapful number since it is divisible by the number (30) 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 364820400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775660354560).

364820400000 is an abundant number, since it is smaller than the sum of its proper divisors (1186500309120).

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

364820400000 is an equidigital number, since it uses as much as digits as its factorization.

364820400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 364820400000 its reverse (4028463), we get a palindrome (364824428463).

The spelling of 364820400000 in words is "three hundred sixty-four billion, eight hundred twenty million, four hundred thousand".