36683632335360 has 640 divisors, whose sum is σ = 127842793537536. Its totient is φ = 8945937285120.

The previous prime is 36683632335307. The next prime is 36683632335407. The reversal of 36683632335360 is 6353323638663.

It is a happy number.

36683632335360 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 36683632335360.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 454454364 + ... + 454535076.

Almost surely, 2^{36683632335360} is an apocalyptic number.

36683632335360 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 36683632335360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63921396768768).

36683632335360 is an abundant number, since it is smaller than the sum of its proper divisors (91159161202176).

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

36683632335360 is a wasteful number, since it uses less digits than its factorization.

36683632335360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80876 (or 80860 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 57.

The spelling of 36683632335360 in words is "thirty-six trillion, six hundred eighty-three billion, six hundred thirty-two million, three hundred thirty-five thousand, three hundred sixty".