3664580954580 has 1512 divisors, whose sum is σ = 15269142260232. Its totient is φ = 731822128128.

The previous prime is 3664580954563. The next prime is 3664580954597. The reversal of 3664580954580 is 854590854663.

It is a happy number.

3664580954580 is a `hidden beast` number, since 3 + 6 + 6 + 4 + 5 + 8 + 0 + 9 + 545 + 80 = 666.

3664580954580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3664580954563) and next prime (3664580954597).

It can be written as a sum of positive squares in 4 ways, for example, as 718215570576 + 2946365384004 = 847476^2 + 1716498^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 3352772514 + ... + 3352773606.

It is an arithmetic number, because the mean of its divisors is an integer number (10098639061).

Almost surely, 2^{3664580954580} is an apocalyptic number.

3664580954580 is a gapful number since it is divisible by the number (30) 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 3664580954580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7634571130116).

3664580954580 is an abundant number, since it is smaller than the sum of its proper divisors (11604561305652).

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

3664580954580 is a wasteful number, since it uses less digits than its factorization.

3664580954580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 3664580954580 in words is "three trillion, six hundred sixty-four billion, five hundred eighty million, nine hundred fifty-four thousand, five hundred eighty".