36218627002656 has 384 divisors, whose sum is σ = 122231686348800. Its totient is φ = 10219455590400.

The previous prime is 36218627002651. The next prime is 36218627002693. The reversal of 36218627002656 is 65620072681263.

36218627002656 is a `hidden beast` number, since 3 + 6 + 2 + 1 + 8 + 627 + 0 + 0 + 2 + 6 + 5 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (36218627002651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1406044305 + ... + 1406070063.

It is an arithmetic number, because the mean of its divisors is an integer number (318311683200).

Almost surely, 2^{36218627002656} is an apocalyptic number.

36218627002656 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 36218627002656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61115843174400).

36218627002656 is an abundant number, since it is smaller than the sum of its proper divisors (86013059346144).

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

36218627002656 is a wasteful number, since it uses less digits than its factorization.

36218627002656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28669 (or 28655 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 36218627002656 in words is "thirty-six trillion, two hundred eighteen billion, six hundred twenty-seven million, two thousand, six hundred fifty-six".