36440186640 has 1280 divisors, whose sum is σ = 151190323200. Its totient is φ = 7122124800.

The previous prime is 36440186603. The next prime is 36440186677. The reversal of 36440186640 is 4668104463.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36440186603) and next prime (36440186677).

It is a junction number, because it is equal to n+sod(n) for n = 36440186592 and 36440186601.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 775323097 + ... + 775323143.

It is an arithmetic number, because the mean of its divisors is an integer number (118117440).

Almost surely, 2^36440186640 is an apocalyptic number.

36440186640 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 36440186640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75595161600).

36440186640 is an abundant number, since it is smaller than the sum of its proper divisors (114750136560).

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

36440186640 is a wasteful number, since it uses less digits than its factorization.

36440186640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 36440186640 in words is "thirty-six billion, four hundred forty million, one hundred eighty-six thousand, six hundred forty".