36541716480 has 288 divisors, whose sum is σ = 129606356880. Its totient is φ = 9516810240.

The previous prime is 36541716469. The next prime is 36541716487. The reversal of 36541716480 is 8461714563.

36541716480 is a `hidden beast` number, since 3 + 65 + 41 + 71 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (36541716487) 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, 3958270 + ... + 3967490.

Almost surely, 2^36541716480 is an apocalyptic number.

36541716480 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 36541716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64803178440).

36541716480 is an abundant number, since it is smaller than the sum of its proper divisors (93064640400).

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

36541716480 is a wasteful number, since it uses less digits than its factorization.

36541716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9297 (or 9274 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 36541716480 in words is "thirty-six billion, five hundred forty-one million, seven hundred sixteen thousand, four hundred eighty".