36668225664 has 480 divisors, whose sum is σ = 127914499440. Its totient is φ = 10455298560.

The previous prime is 36668225641. The next prime is 36668225677. The reversal of 36668225664 is 46652286663.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36668225664.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 74680459 + ... + 74680949.

Almost surely, 2^36668225664 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 36668225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63957249720).

36668225664 is an abundant number, since it is smaller than the sum of its proper divisors (91246273776).

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

36668225664 is an frugal number, since it uses more digits than its factorization.

36668225664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 503 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 36668225664 in words is "thirty-six billion, six hundred sixty-eight million, two hundred twenty-five thousand, six hundred sixty-four".