36685368720 has 1920 divisors, whose sum is σ = 182868295680. Its totient is φ = 6524375040.

The previous prime is 36685368719. The next prime is 36685368737. The reversal of 36685368720 is 2786358663.

36685368720 is a `hidden beast` number, since 3 + 6 + 6 + 8 + 536 + 87 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 780539737 + ... + 780539783.

It is an arithmetic number, because the mean of its divisors is an integer number (95243904).

Almost surely, 2^36685368720 is an apocalyptic number.

36685368720 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 36685368720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91434147840).

36685368720 is an abundant number, since it is smaller than the sum of its proper divisors (146182926960).

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

36685368720 is a wasteful number, since it uses less digits than its factorization.

36685368720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 36685368720 in words is "thirty-six billion, six hundred eighty-five million, three hundred sixty-eight thousand, seven hundred twenty".