36287703559680 has 640 divisors, whose sum is σ = 125299085345280. Its totient is φ = 8928968048640.

The previous prime is 36287703559619. The next prime is 36287703559691. The reversal of 36287703559680 is 8695530778263.

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

It is a congruent number.

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, 3846884244 + ... + 3846893676.

It is an arithmetic number, because the mean of its divisors is an integer number (195779820852).

Almost surely, 2^{36287703559680} is an apocalyptic number.

36287703559680 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 36287703559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62649542672640).

36287703559680 is an abundant number, since it is smaller than the sum of its proper divisors (89011381785600).

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

36287703559680 is a wasteful number, since it uses less digits than its factorization.

36287703559680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10162 (or 10146 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 69.

The spelling of 36287703559680 in words is "thirty-six trillion, two hundred eighty-seven billion, seven hundred three million, five hundred fifty-nine thousand, six hundred eighty".