36505663314240 has 224 divisors, whose sum is σ = 116591713902720. Its totient is φ = 9677222977536.

The previous prime is 36505663314233. The next prime is 36505663314311. The reversal of 36505663314240 is 4241336650563.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 36505663314240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1899447351 + ... + 1899466569.

It is an arithmetic number, because the mean of its divisors is an integer number (520498722780).

Almost surely, 2^{36505663314240} is an apocalyptic number.

36505663314240 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 36505663314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58295856951360).

36505663314240 is an abundant number, since it is smaller than the sum of its proper divisors (80086050588480).

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

36505663314240 is a wasteful number, since it uses less digits than its factorization.

36505663314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30849 (or 30839 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 36505663314240 in words is "thirty-six trillion, five hundred five billion, six hundred sixty-three million, three hundred fourteen thousand, two hundred forty".