6652220114400 has 288 divisors, whose sum is σ = 24926897076480. Its totient is φ = 1509408337920.

The previous prime is 6652220114399. The next prime is 6652220114443. The reversal of 6652220114400 is 44110222566.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856471 + ... + 3746729.

It is an arithmetic number, because the mean of its divisors is an integer number (86551725960).

Almost surely, 2^{6652220114400} is an apocalyptic number.

6652220114400 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 6652220114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12463448538240).

6652220114400 is an abundant number, since it is smaller than the sum of its proper divisors (18274676962080).

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

6652220114400 is a wasteful number, since it uses less digits than its factorization.

6652220114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890426 (or 2890413 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 6652220114400 its reverse (44110222566), we get a palindrome (6696330336966).

The spelling of 6652220114400 in words is "six trillion, six hundred fifty-two billion, two hundred twenty million, one hundred fourteen thousand, four hundred".