36686805120 has 1280 divisors, whose sum is σ = 167416761600. Its totient is φ = 7453016064.

The previous prime is 36686805097. The next prime is 36686805151. The reversal of 36686805120 is 2150868663.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 117210084 + ... + 117210396.

It is an arithmetic number, because the mean of its divisors is an integer number (130794345).

Almost surely, 2^36686805120 is an apocalyptic number.

36686805120 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 36686805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83708380800).

36686805120 is an abundant number, since it is smaller than the sum of its proper divisors (130729956480).

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

36686805120 is a wasteful number, since it uses less digits than its factorization.

36686805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 36686805120 in words is "thirty-six billion, six hundred eighty-six million, eight hundred five thousand, one hundred twenty".