2664432351328 has 384 divisors, whose sum is σ = 6502159319040. Its totient is φ = 1059803136000.

The previous prime is 2664432351319. The next prime is 2664432351349. The reversal of 2664432351328 is 8231532344662.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 1199653258 + ... + 1199655478.

It is an arithmetic number, because the mean of its divisors is an integer number (16932706560).

Almost surely, 2^{2664432351328} 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 2664432351328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251079659520).

2664432351328 is an abundant number, since it is smaller than the sum of its proper divisors (3837726967712).

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

2664432351328 is a wasteful number, since it uses less digits than its factorization.

2664432351328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2534 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 49.

The spelling of 2664432351328 in words is "two trillion, six hundred sixty-four billion, four hundred thirty-two million, three hundred fifty-one thousand, three hundred twenty-eight".