3664648512 has 336 divisors, whose sum is σ = 12831836160. Its totient is φ = 977163264.

The previous prime is 3664648499. The next prime is 3664648513. The reversal of 3664648512 is 2158464663.

3664648512 is a `hidden beast` number, since 36 + 64 + 6 + 48 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3664648513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3987189 + ... + 3988107.

Almost surely, 2^3664648512 is an apocalyptic number.

3664648512 is a gapful number since it is divisible by the number (32) 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 3664648512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415918080).

3664648512 is an abundant number, since it is smaller than the sum of its proper divisors (9167187648).

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

3664648512 is a wasteful number, since it uses less digits than its factorization.

3664648512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 997 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 3664648512 is about 60536.3404245747. The cubic root of 3664648512 is about 1541.7387052399.

It can be divided in two parts, 36646 and 48512, that added together give a palindrome (85158).

The spelling of 3664648512 in words is "three billion, six hundred sixty-four million, six hundred forty-eight thousand, five hundred twelve".