364380871680 has 1584 divisors, whose sum is σ = 1569733925760. Its totient is φ = 80764895232.

The previous prime is 364380871627. The next prime is 364380871747. The reversal of 364380871680 is 86178083463.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 2621445051 + ... + 2621445189.

It is an arithmetic number, because the mean of its divisors is an integer number (990993640).

Almost surely, 2^364380871680 is an apocalyptic number.

364380871680 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 364380871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784866962880).

364380871680 is an abundant number, since it is smaller than the sum of its proper divisors (1205353054080).

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

364380871680 is a wasteful number, since it uses less digits than its factorization.

364380871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 364380871680 in words is "three hundred sixty-four billion, three hundred eighty million, eight hundred seventy-one thousand, six hundred eighty".