36406516608 has 576 divisors, whose sum is σ = 135871931520. Its totient is φ = 9439441920.

The previous prime is 36406516603. The next prime is 36406516687. The reversal of 36406516608 is 80661560463.

36406516608 is a `hidden beast` number, since 36 + 4 + 0 + 6 + 5 + 1 + 6 + 608 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36406516603) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64664935 + ... + 64665497.

It is an arithmetic number, because the mean of its divisors is an integer number (235888770).

Almost surely, 2^36406516608 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 36406516608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67935965760).

36406516608 is an abundant number, since it is smaller than the sum of its proper divisors (99465414912).

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

36406516608 is an frugal number, since it uses more digits than its factorization.

36406516608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 36406516608 in words is "thirty-six billion, four hundred six million, five hundred sixteen thousand, six hundred eight".