365820456960 has 624 divisors, whose sum is σ = 1455767426880. Its totient is φ = 83235962880.

The previous prime is 365820456923. The next prime is 365820456961. The reversal of 365820456960 is 69654028563.

365820456960 is a `hidden beast` number, since 3 + 6 + 58 + 20 + 4 + 569 + 6 + 0 = 666.

It is a super-3 number, since 3×365820456960³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 365820456897 and 365820456906.

It is not an unprimeable number, because it can be changed into a prime (365820456961) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 362556936 + ... + 362557944.

It is an arithmetic number, because the mean of its divisors is an integer number (2332960620).

Almost surely, 2^365820456960 is an apocalyptic number.

365820456960 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 365820456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727883713440).

365820456960 is an abundant number, since it is smaller than the sum of its proper divisors (1089946969920).

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

365820456960 is a wasteful number, since it uses less digits than its factorization.

365820456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 365820456960 in words is "three hundred sixty-five billion, eight hundred twenty million, four hundred fifty-six thousand, nine hundred sixty".