36685301760 has 576 divisors, whose sum is σ = 137801139840. Its totient is φ = 9342812160.

The previous prime is 36685301749. The next prime is 36685301777. The reversal of 36685301760 is 6710358663.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×36685301760³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 57231040 + ... + 57231680.

It is an arithmetic number, because the mean of its divisors is an integer number (239238090).

Almost surely, 2^36685301760 is an apocalyptic number.

36685301760 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 36685301760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68900569920).

36685301760 is an abundant number, since it is smaller than the sum of its proper divisors (101115838080).

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

36685301760 is an equidigital number, since it uses as much as digits as its factorization.

36685301760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 36685301760 in words is "thirty-six billion, six hundred eighty-five million, three hundred one thousand, seven hundred sixty".