360435645396 has 288 divisors, whose sum is σ = 1014025420800. Its totient is φ = 110671142400.

The previous prime is 360435645389. The next prime is 360435645397. The reversal of 360435645396 is 693546534063.

360435645396 is a `hidden beast` number, since 3 + 6 + 0 + 43 + 5 + 64 + 539 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360435645397) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 313149421 + ... + 313150571.

It is an arithmetic number, because the mean of its divisors is an integer number (3520921600).

Almost surely, 2^360435645396 is an apocalyptic number.

360435645396 is a gapful number since it is divisible by the number (36) 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 360435645396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507012710400).

360435645396 is an abundant number, since it is smaller than the sum of its proper divisors (653589775404).

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

360435645396 is a wasteful number, since it uses less digits than its factorization.

360435645396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 54.

The spelling of 360435645396 in words is "three hundred sixty billion, four hundred thirty-five million, six hundred forty-five thousand, three hundred ninety-six".