8022432660480 has 1584 divisors, whose sum is σ = 34875614460960. Its totient is φ = 1694446387200.

The previous prime is 8022432660479. The next prime is 8022432660551. The reversal of 8022432660480 is 840662342208.

8022432660480 is a `hidden beast` number, since 8 + 0 + 2 + 2 + 4 + 32 + 6 + 604 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1758917400 + ... + 1758921960.

Almost surely, 2^{8022432660480} is an apocalyptic number.

8022432660480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8022432660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17437807230480).

8022432660480 is an abundant number, since it is smaller than the sum of its proper divisors (26853181800480).

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

8022432660480 is a wasteful number, since it uses less digits than its factorization.

8022432660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 8022432660480 in words is "eight trillion, twenty-two billion, four hundred thirty-two million, six hundred sixty thousand, four hundred eighty".