361335533760 has 336 divisors, whose sum is σ = 1310247124992. Its totient is φ = 91262822400.

The previous prime is 361335533747. The next prime is 361335533761. The reversal of 361335533760 is 67335533163.

361335533760 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 3 + 553 + 37 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (361335533761) 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, 4153105 + ... + 4239215.

Almost surely, 2^361335533760 is an apocalyptic number.

361335533760 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 361335533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655123562496).

361335533760 is an abundant number, since it is smaller than the sum of its proper divisors (948911591232).

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

361335533760 is a wasteful number, since it uses less digits than its factorization.

361335533760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86212 (or 86199 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 45.

The spelling of 361335533760 in words is "three hundred sixty-one billion, three hundred thirty-five million, five hundred thirty-three thousand, seven hundred sixty".