8030439641664 has 1120 divisors, whose sum is σ = 27318670727040. Its totient is φ = 2310952550400.

The previous prime is 8030439641657. The next prime is 8030439641737. The reversal of 8030439641664 is 4661469340308.

It is a happy number.

8030439641664 is a `hidden beast` number, since 80 + 3 + 0 + 4 + 3 + 96 + 416 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 8030439641664.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28376111667 + ... + 28376111949.

It is an arithmetic number, because the mean of its divisors is an integer number (24391670292).

Almost surely, 2^{8030439641664} 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 8030439641664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659335363520).

8030439641664 is an abundant number, since it is smaller than the sum of its proper divisors (19288231085376).

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

8030439641664 is a wasteful number, since it uses less digits than its factorization.

8030439641664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 8030439641664 in words is "eight trillion, thirty billion, four hundred thirty-nine million, six hundred forty-one thousand, six hundred sixty-four".