541763631360 has 432 divisors, whose sum is σ = 2236394361600. Its totient is φ = 123831300096.

The previous prime is 541763631349. The next prime is 541763631379. The reversal of 541763631360 is 63136367145.

541763631360 is a `hidden beast` number, since 5 + 4 + 1 + 7 + 6 + 3 + 631 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1533481 + ... + 1853399.

It is an arithmetic number, because the mean of its divisors is an integer number (5176838800).

Almost surely, 2^541763631360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541763631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118197180800).

541763631360 is an abundant number, since it is smaller than the sum of its proper divisors (1694630730240).

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

541763631360 is a wasteful number, since it uses less digits than its factorization.

541763631360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319963 (or 319936 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 541763631360 in words is "five hundred forty-one billion, seven hundred sixty-three million, six hundred thirty-one thousand, three hundred sixty".