36408927744 has 480 divisors, whose sum is σ = 129182017536. Its totient is φ = 9634775040.

The previous prime is 36408927703. The next prime is 36408927767. The reversal of 36408927744 is 44772980463.

36408927744 is a `hidden beast` number, since 364 + 0 + 8 + 9 + 277 + 4 + 4 = 666.

It is a super-2 number, since 2×36408927744² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36739089 + ... + 36740079.

Almost surely, 2^36408927744 is an apocalyptic number.

36408927744 is a gapful number since it is divisible by the number (34) 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 36408927744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64591008768).

36408927744 is an abundant number, since it is smaller than the sum of its proper divisors (92773089792).

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

36408927744 is a wasteful number, since it uses less digits than its factorization.

36408927744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 36408927744 in words is "thirty-six billion, four hundred eight million, nine hundred twenty-seven thousand, seven hundred forty-four".