6440922053280 has 2304 divisors, whose sum is σ = 28822484275200. Its totient is φ = 1323414650880.

The previous prime is 6440922053273. The next prime is 6440922053299. The reversal of 6440922053280 is 823502290446.

6440922053280 is a `hidden beast` number, since 6 + 4 + 4 + 0 + 92 + 20 + 532 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7676903101 + ... + 7676903939.

It is an arithmetic number, because the mean of its divisors is an integer number (12509758800).

Almost surely, 2^{6440922053280} is an apocalyptic number.

6440922053280 is a gapful number since it is divisible by the number (60) 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 6440922053280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14411242137600).

6440922053280 is an abundant number, since it is smaller than the sum of its proper divisors (22381562221920).

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

6440922053280 is a wasteful number, since it uses less digits than its factorization.

6440922053280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 6440922053280 in words is "six trillion, four hundred forty billion, nine hundred twenty-two million, fifty-three thousand, two hundred eighty".