3466646556432 has 320 divisors, whose sum is σ = 9462662922240. Its totient is φ = 1092268800000.

The previous prime is 3466646556413. The next prime is 3466646556473. The reversal of 3466646556432 is 2346556466643.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7060379707 + ... + 7060380197.

It is an arithmetic number, because the mean of its divisors is an integer number (29570821632).

Almost surely, 2^{3466646556432} 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 3466646556432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4731331461120).

3466646556432 is an abundant number, since it is smaller than the sum of its proper divisors (5996016365808).

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

3466646556432 is a wasteful number, since it uses less digits than its factorization.

3466646556432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1168 counting only the distinct ones).

The product of its digits is 223948800, while the sum is 60.

It can be divided in two parts, 346664 and 6556432, that added together give a palindrome (6903096).

The spelling of 3466646556432 in words is "three trillion, four hundred sixty-six billion, six hundred forty-six million, five hundred fifty-six thousand, four hundred thirty-two".