36363144960 has 216 divisors, whose sum is σ = 125954468640. Its totient is φ = 9685917696.

The previous prime is 36363144949. The next prime is 36363144967. The reversal of 36363144960 is 6944136363.

36363144960 is a `hidden beast` number, since 3 + 6 + 3 + 631 + 4 + 4 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×36363144960² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36363144967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19686757 + ... + 19688603.

It is an arithmetic number, because the mean of its divisors is an integer number (583122540).

Almost surely, 2^36363144960 is an apocalyptic number.

36363144960 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 36363144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62977234320).

36363144960 is an abundant number, since it is smaller than the sum of its proper divisors (89591323680).

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

36363144960 is a wasteful number, since it uses less digits than its factorization.

36363144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 36363144960 in words is "thirty-six billion, three hundred sixty-three million, one hundred forty-four thousand, nine hundred sixty".