36279823104 has 576 divisors, whose sum is σ = 127153152000. Its totient is φ = 9990328320.

The previous prime is 36279823067. The next prime is 36279823109. The reversal of 36279823104 is 40132897263.

36279823104 is a `hidden beast` number, since 3 + 627 + 9 + 8 + 2 + 3 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 36279823104.

It is not an unprimeable number, because it can be changed into a prime (36279823109) 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 63 ways as a sum of consecutive naturals, for example, 202680487 + ... + 202680665.

It is an arithmetic number, because the mean of its divisors is an integer number (220752000).

Almost surely, 2^36279823104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36279823104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63576576000).

36279823104 is an abundant number, since it is smaller than the sum of its proper divisors (90873328896).

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

36279823104 is a wasteful number, since it uses less digits than its factorization.

36279823104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 321 counting only the distinct ones).

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

The spelling of 36279823104 in words is "thirty-six billion, two hundred seventy-nine million, eight hundred twenty-three thousand, one hundred four".