36634985856 has 640 divisors, whose sum is σ = 137772264960. Its totient is φ = 9415802880.

The previous prime is 36634985819. The next prime is 36634985857. The reversal of 36634985856 is 65858943663.

36634985856 is a `hidden beast` number, since 3 + 6 + 6 + 3 + 49 + 8 + 585 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 36634985793 and 36634985802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36634985857) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28376571 + ... + 28377861.

It is an arithmetic number, because the mean of its divisors is an integer number (215269164).

Almost surely, 2^36634985856 is an apocalyptic number.

36634985856 is a gapful number since it is divisible by the number (36) 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 36634985856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68886132480).

36634985856 is an abundant number, since it is smaller than the sum of its proper divisors (101137279104).

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

36634985856 is a wasteful number, since it uses less digits than its factorization.

36634985856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1343 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 63.

The spelling of 36634985856 in words is "thirty-six billion, six hundred thirty-four million, nine hundred eighty-five thousand, eight hundred fifty-six".