636161670144 has 792 divisors, whose sum is σ = 2485412049120. Its totient is φ = 152501944320.

The previous prime is 636161670103. The next prime is 636161670149. The reversal of 636161670144 is 441076161636.

636161670144 is a `hidden beast` number, since 6 + 3 + 616 + 16 + 7 + 0 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a self number, because there is not a number n which added to its sum of digits gives 636161670144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (636161670149) 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, 101474242 + ... + 101480510.

Almost surely, 2^636161670144 is an apocalyptic number.

636161670144 is a gapful number since it is divisible by the number (64) 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 636161670144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242706024560).

636161670144 is an abundant number, since it is smaller than the sum of its proper divisors (1849250378976).

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

636161670144 is a wasteful number, since it uses less digits than its factorization.

636161670144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6337 (or 6305 counting only the distinct ones).

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

The spelling of 636161670144 in words is "six hundred thirty-six billion, one hundred sixty-one million, six hundred seventy thousand, one hundred forty-four".