36648442656 has 192 divisors, whose sum is σ = 122530786560. Its totient is φ = 10439331840.

The previous prime is 36648442643. The next prime is 36648442693. The reversal of 36648442656 is 65624484663.

36648442656 is a `hidden beast` number, since 3 + 66 + 484 + 42 + 65 + 6 = 666.

It is a super-2 number, since 2×36648442656² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2029186 + ... + 2047166.

It is an arithmetic number, because the mean of its divisors is an integer number (638181180).

Almost surely, 2^36648442656 is an apocalyptic number.

36648442656 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 36648442656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61265393280).

36648442656 is an abundant number, since it is smaller than the sum of its proper divisors (85882343904).

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

36648442656 is a wasteful number, since it uses less digits than its factorization.

36648442656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18344 (or 18330 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 36648442656 in words is "thirty-six billion, six hundred forty-eight million, four hundred forty-two thousand, six hundred fifty-six".