3587666552064 has 540 divisors, whose sum is σ = 12131792036000. Its totient is φ = 1019583645696.

The previous prime is 3587666552059. The next prime is 3587666552081. The reversal of 3587666552064 is 4602556667853.

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

It is a junction number, because it is equal to n+sod(n) for n = 3587666551992 and 3587666552010.

It is a congruent number.

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, 1100847267 + ... + 1100850525.

Almost surely, 2^{3587666552064} 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 3587666552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065896018000).

3587666552064 is an abundant number, since it is smaller than the sum of its proper divisors (8544125483936).

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

3587666552064 is an equidigital number, since it uses as much as digits as its factorization.

3587666552064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 3587666552064 in words is "three trillion, five hundred eighty-seven billion, six hundred sixty-six million, five hundred fifty-two thousand, sixty-four".