36412501600 has 72 divisors (see below), whose sum is σ = 88975195848. Its totient is φ = 14551372800.

The previous prime is 36412501583. The next prime is 36412501621. The reversal of 36412501600 is 610521463.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 856855 + ... + 898345.

It is an arithmetic number, because the mean of its divisors is an integer number (1235766609).

Almost surely, 2^36412501600 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 36412501600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44487597924).

36412501600 is an abundant number, since it is smaller than the sum of its proper divisors (52562694248).

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

36412501600 is a wasteful number, since it uses less digits than its factorization.

36412501600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42608 (or 42595 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 36412501600 in words is "thirty-six billion, four hundred twelve million, five hundred one thousand, six hundred".