3646306013064 has 128 divisors (see below), whose sum is σ = 10711646668800. Its totient is φ = 1019734652160.

The previous prime is 3646306013023. The next prime is 3646306013083. The reversal of 3646306013064 is 4603106036463.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16856907 + ... + 17071845.

It is an arithmetic number, because the mean of its divisors is an integer number (83684739600).

Almost surely, 2^{3646306013064} 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 3646306013064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355823334400).

3646306013064 is an abundant number, since it is smaller than the sum of its proper divisors (7065340655736).

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

3646306013064 is a wasteful number, since it uses less digits than its factorization.

3646306013064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219915 (or 219911 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 42.

The spelling of 3646306013064 in words is "three trillion, six hundred forty-six billion, three hundred six million, thirteen thousand, sixty-four".