365220495360 has 768 divisors, whose sum is σ = 1483955665920. Its totient is φ = 81348526080.

The previous prime is 365220495359. The next prime is 365220495391. The reversal of 365220495360 is 63594022563.

365220495360 is a `hidden beast` number, since 3 + 6 + 52 + 20 + 49 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423198289 + ... + 423199151.

It is an arithmetic number, because the mean of its divisors is an integer number (1932233940).

Almost surely, 2^365220495360 is an apocalyptic number.

365220495360 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 365220495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741977832960).

365220495360 is an abundant number, since it is smaller than the sum of its proper divisors (1118735170560).

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

365220495360 is an equidigital number, since it uses as much as digits as its factorization.

365220495360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 365220495360 in words is "three hundred sixty-five billion, two hundred twenty million, four hundred ninety-five thousand, three hundred sixty".