36673781760 has 1536 divisors, whose sum is σ = 176661388800. Its totient is φ = 6794772480.

The previous prime is 36673781609. The next prime is 36673781761. The reversal of 36673781760 is 6718737663.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a junction number, because it is equal to n+sod(n) for n = 36673781697 and 36673781706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36673781761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1930199031 + ... + 1930199049.

It is an arithmetic number, because the mean of its divisors is an integer number (115013925).

Almost surely, 2^36673781760 is an apocalyptic number.

36673781760 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 36673781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88330694400).

36673781760 is an abundant number, since it is smaller than the sum of its proper divisors (139987607040).

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

36673781760 is a wasteful number, since it uses less digits than its factorization.

36673781760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 36673781760 in words is "thirty-six billion, six hundred seventy-three million, seven hundred eighty-one thousand, seven hundred sixty".