36616570848 has 432 divisors, whose sum is σ = 124401605328. Its totient is φ = 10147737600.

The previous prime is 36616570831. The next prime is 36616570849. The reversal of 36616570848 is 84807561663.

36616570848 is a `hidden beast` number, since 3 + 6 + 61 + 6 + 570 + 8 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36616570794 and 36616570803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36616570849) 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 71 ways as a sum of consecutive naturals, for example, 59345836 + ... + 59346452.

It is an arithmetic number, because the mean of its divisors is an integer number (287966679).

Almost surely, 2^36616570848 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 36616570848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62200802664).

36616570848 is an abundant number, since it is smaller than the sum of its proper divisors (87785034480).

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

36616570848 is a wasteful number, since it uses less digits than its factorization.

36616570848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 36616570848 in words is "thirty-six billion, six hundred sixteen million, five hundred seventy thousand, eight hundred forty-eight".