36279090720 has 144 divisors (see below), whose sum is σ = 131084979480. Its totient is φ = 9105334272.

The previous prime is 36279090647. The next prime is 36279090817. The reversal of 36279090720 is 2709097263.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36180604944 + 98485776 = 190212^2 + 9924^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716515 + ... + 765474.

Almost surely, 2^36279090720 is an apocalyptic number.

36279090720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36279090720 is an abundant number, since it is smaller than the sum of its proper divisors (94805888760).

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

36279090720 is a wasteful number, since it uses less digits than its factorization.

36279090720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482027 (or 1482016 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 36279090720 in words is "thirty-six billion, two hundred seventy-nine million, ninety thousand, seven hundred twenty".