3664663152516 has 192 divisors, whose sum is σ = 9859045109760. Its totient is φ = 1176266810880.

The previous prime is 3664663152481. The next prime is 3664663152517. The reversal of 3664663152516 is 6152513664663.

3664663152516 is a `hidden beast` number, since 3 + 6 + 6 + 46 + 6 + 31 + 52 + 516 = 666.

3664663152516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (3664663152517) 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, 150345306 + ... + 150369678.

It is an arithmetic number, because the mean of its divisors is an integer number (51349193280).

Almost surely, 2^{3664663152516} is an apocalyptic number.

3664663152516 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 3664663152516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929522554880).

3664663152516 is an abundant number, since it is smaller than the sum of its proper divisors (6194381957244).

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

3664663152516 is a wasteful number, since it uses less digits than its factorization.

3664663152516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24811 (or 24803 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 3664663152516 in words is "three trillion, six hundred sixty-four billion, six hundred sixty-three million, one hundred fifty-two thousand, five hundred sixteen".