36540507780 has 288 divisors, whose sum is σ = 138281794560. Its totient is φ = 7912391040.

The previous prime is 36540507749. The next prime is 36540507781. The reversal of 36540507780 is 8770504563.

36540507780 is a `hidden beast` number, since 3 + 65 + 4 + 0 + 507 + 7 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (36540507781) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 618115 + ... + 674645.

It is an arithmetic number, because the mean of its divisors is an integer number (480145120).

Almost surely, 2^36540507780 is an apocalyptic number.

36540507780 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 36540507780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69140897280).

36540507780 is an abundant number, since it is smaller than the sum of its proper divisors (101741286780).

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

36540507780 is a wasteful number, since it uses less digits than its factorization.

36540507780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56581 (or 56567 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 36540507780 in words is "thirty-six billion, five hundred forty million, five hundred seven thousand, seven hundred eighty".