363284144640 has 720 divisors, whose sum is σ = 1339520390208. Its totient is φ = 94434729984.

The previous prime is 363284144633. The next prime is 363284144701. The reversal of 363284144640 is 46441482363.

363284144640 is a `hidden beast` number, since 3 + 632 + 8 + 4 + 1 + 4 + 4 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 722234629 + ... + 722235131.

Almost surely, 2^363284144640 is an apocalyptic number.

363284144640 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 363284144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669760195104).

363284144640 is an abundant number, since it is smaller than the sum of its proper divisors (976236245568).

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

363284144640 is an frugal number, since it uses more digits than its factorization.

363284144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 363284144640 in words is "three hundred sixty-three billion, two hundred eighty-four million, one hundred forty-four thousand, six hundred forty".