364428660768 has 96 divisors (see below), whose sum is σ = 986593063680. Its totient is φ = 117698273280.

The previous prime is 364428660749. The next prime is 364428660773. The reversal of 364428660768 is 867066824463.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 634288 + ... + 1063568.

It is an arithmetic number, because the mean of its divisors is an integer number (10277011080).

Almost surely, 2^364428660768 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 364428660768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493296531840).

364428660768 is an abundant number, since it is smaller than the sum of its proper divisors (622164402912).

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

364428660768 is a wasteful number, since it uses less digits than its factorization.

364428660768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429570 (or 429562 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 60.

The spelling of 364428660768 in words is "three hundred sixty-four billion, four hundred twenty-eight million, six hundred sixty thousand, seven hundred sixty-eight".