36860667120 has 240 divisors, whose sum is σ = 124964135712. Its totient is φ = 9736796160.

The previous prime is 36860667097. The next prime is 36860667121. The reversal of 36860667120 is 2176606863.

36860667120 is a `hidden beast` number, since 36 + 8 + 606 + 6 + 7 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36860667121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67386687 + ... + 67387233.

Almost surely, 2^36860667120 is an apocalyptic number.

36860667120 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 36860667120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62482067856).

36860667120 is an abundant number, since it is smaller than the sum of its proper divisors (88103468592).

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

36860667120 is a wasteful number, since it uses less digits than its factorization.

36860667120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 36860667120 in words is "thirty-six billion, eight hundred sixty million, six hundred sixty-seven thousand, one hundred twenty".