363283532640 has 288 divisors, whose sum is σ = 1419194649600. Its totient is φ = 82896233472.

The previous prime is 363283532617. The next prime is 363283532657. The reversal of 363283532640 is 46235382363.

363283532640 is a `hidden beast` number, since 3 + 6 + 3 + 283 + 5 + 326 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6007837 + ... + 6068003.

It is an arithmetic number, because the mean of its divisors is an integer number (4927759200).

Almost surely, 2^363283532640 is an apocalyptic number.

363283532640 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 363283532640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709597324800).

363283532640 is an abundant number, since it is smaller than the sum of its proper divisors (1055911116960).

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

363283532640 is a wasteful number, since it uses less digits than its factorization.

363283532640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60794 (or 60783 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 363283532640 in words is "three hundred sixty-three billion, two hundred eighty-three million, five hundred thirty-two thousand, six hundred forty".