363667242240 has 1080 divisors, whose sum is σ = 1414547358840. Its totient is φ = 89160155136.

The previous prime is 363667242233. The next prime is 363667242269. The reversal of 363667242240 is 42242766363.

It is a happy number.

363667242240 is a `hidden beast` number, since 3 + 6 + 366 + 7 + 2 + 42 + 240 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 15265096704 + 348402145536 = 123552^2 + 590256^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1588066446 + ... + 1588066674.

It is an arithmetic number, because the mean of its divisors is an integer number (1309766073).

Almost surely, 2^363667242240 is an apocalyptic number.

363667242240 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 363667242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707273679420).

363667242240 is an abundant number, since it is smaller than the sum of its proper divisors (1050880116600).

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

363667242240 is a wasteful number, since it uses less digits than its factorization.

363667242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 363667242240 in words is "three hundred sixty-three billion, six hundred sixty-seven million, two hundred forty-two thousand, two hundred forty".