36336948480 has 864 divisors, whose sum is σ = 149457934080. Its totient is φ = 7980318720.

The previous prime is 36336948433. The next prime is 36336948481. The reversal of 36336948480 is 8484963363.

36336948480 is a `hidden beast` number, since 3 + 63 + 3 + 69 + 48 + 480 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36336948481) 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, 408280276 + ... + 408280364.

It is an arithmetic number, because the mean of its divisors is an integer number (172983720).

Almost surely, 2^36336948480 is an apocalyptic number.

36336948480 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 36336948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74728967040).

36336948480 is an abundant number, since it is smaller than the sum of its proper divisors (113120985600).

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

36336948480 is a wasteful number, since it uses less digits than its factorization.

36336948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 36336948480 in words is "thirty-six billion, three hundred thirty-six million, nine hundred forty-eight thousand, four hundred eighty".