4322027006640 has 640 divisors, whose sum is σ = 18233295851520. Its totient is φ = 919398408192.

The previous prime is 4322027006639. The next prime is 4322027006659. The reversal of 4322027006640 is 466007202234.

4322027006640 is a `hidden beast` number, since 4 + 3 + 2 + 2 + 0 + 2 + 7 + 0 + 0 + 6 + 640 = 666.

It is a super-2 number, since 2×4322027006640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4322027006595 and 4322027006604.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12699172 + ... + 13035068.

It is an arithmetic number, because the mean of its divisors is an integer number (28489524768).

Almost surely, 2^{4322027006640} is an apocalyptic number.

4322027006640 is a gapful number since it is divisible by the number (40) 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 4322027006640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9116647925760).

4322027006640 is an abundant number, since it is smaller than the sum of its proper divisors (13911268844880).

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

4322027006640 is a wasteful number, since it uses less digits than its factorization.

4322027006640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335986 (or 335974 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 4322027006640 in words is "four trillion, three hundred twenty-two billion, twenty-seven million, six thousand, six hundred forty".