36503681280 has 288 divisors, whose sum is σ = 127762427520. Its totient is φ = 8809021440.

The previous prime is 36503681233. The next prime is 36503681281. The reversal of 36503681280 is 8218630563.

36503681280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×36503681280³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (36503681281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9840066 + ... + 9843774.

It is an arithmetic number, because the mean of its divisors is an integer number (443619540).

Almost surely, 2^36503681280 is an apocalyptic number.

36503681280 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 36503681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63881213760).

36503681280 is an abundant number, since it is smaller than the sum of its proper divisors (91258746240).

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

36503681280 is a wasteful number, since it uses less digits than its factorization.

36503681280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 36503681280 in words is "thirty-six billion, five hundred three million, six hundred eighty-one thousand, two hundred eighty".