36283927680 has 2304 divisors, whose sum is σ = 182847974400. Its totient is φ = 6502809600.

The previous prime is 36283927661. The next prime is 36283927699. The reversal of 36283927680 is 8672938263.

It is a happy number.

36283927680 is a `hidden beast` number, since 3 + 628 + 3 + 9 + 2 + 7 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36283927661) and next prime (36283927699).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1170449265 + ... + 1170449295.

It is an arithmetic number, because the mean of its divisors is an integer number (79361100).

Almost surely, 2^36283927680 is an apocalyptic number.

36283927680 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 36283927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91423987200).

36283927680 is an abundant number, since it is smaller than the sum of its proper divisors (146564046720).

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

36283927680 is a wasteful number, since it uses less digits than its factorization.

36283927680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 36283927680 in words is "thirty-six billion, two hundred eighty-three million, nine hundred twenty-seven thousand, six hundred eighty".