36006727680 has 1248 divisors, whose sum is σ = 161922309120. Its totient is φ = 7184056320.

The previous prime is 36006727619. The next prime is 36006727699. The reversal of 36006727680 is 8672760063.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 610283491 + ... + 610283549.

It is an arithmetic number, because the mean of its divisors is an integer number (129745440).

Almost surely, 2^36006727680 is an apocalyptic number.

36006727680 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 36006727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80961154560).

36006727680 is an abundant number, since it is smaller than the sum of its proper divisors (125915581440).

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

36006727680 is a wasteful number, since it uses less digits than its factorization.

36006727680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 36006727680 in words is "thirty-six billion, six million, seven hundred twenty-seven thousand, six hundred eighty".