364643311680 has 336 divisors, whose sum is σ = 1335837572160. Its totient is φ = 94609410048.

The previous prime is 364643311609. The next prime is 364643311691. The reversal of 364643311680 is 86113346463.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 2813751 + ... + 2940489.

It is an arithmetic number, because the mean of its divisors is an integer number (3975707060).

Almost surely, 2^364643311680 is an apocalyptic number.

364643311680 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 364643311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667918786080).

364643311680 is an abundant number, since it is smaller than the sum of its proper divisors (971194260480).

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

364643311680 is a wasteful number, since it uses less digits than its factorization.

364643311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126808 (or 126786 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 364643311680 in words is "three hundred sixty-four billion, six hundred forty-three million, three hundred eleven thousand, six hundred eighty".