3643556156664 has 64 divisors (see below), whose sum is σ = 9271996473600. Its totient is φ = 1192809989376.

The previous prime is 3643556156567. The next prime is 3643556156761. The reversal of 3643556156664 is 4666516553463.

It is an interprime number because it is at equal distance from previous prime (3643556156567) and next prime (3643556156761).

It is a junction number, because it is equal to n+sod(n) for n = 3643556156598 and 3643556156607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294892 + ... + 2715524.

It is an arithmetic number, because the mean of its divisors is an integer number (144874944900).

Almost surely, 2^{3643556156664} 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 3643556156664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635998236800).

3643556156664 is an abundant number, since it is smaller than the sum of its proper divisors (5628440316936).

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

3643556156664 is a wasteful number, since it uses less digits than its factorization.

3643556156664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421764 (or 2421760 counting only the distinct ones).

The product of its digits is 139968000, while the sum is 60.

The spelling of 3643556156664 in words is "three trillion, six hundred forty-three billion, five hundred fifty-six million, one hundred fifty-six thousand, six hundred sixty-four".