6452622745920 has 1344 divisors, whose sum is σ = 25394482713600. Its totient is φ = 1500810854400.

The previous prime is 6452622745889. The next prime is 6452622745927. The reversal of 6452622745920 is 295472262546.

6452622745920 is a `hidden beast` number, since 6 + 4 + 5 + 2 + 622 + 7 + 4 + 5 + 9 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6452622745927) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14698457061 + ... + 14698457499.

It is an arithmetic number, because the mean of its divisors is an integer number (18894704400).

Almost surely, 2^{6452622745920} is an apocalyptic number.

6452622745920 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 6452622745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12697241356800).

6452622745920 is an abundant number, since it is smaller than the sum of its proper divisors (18941859967680).

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

6452622745920 is a wasteful number, since it uses less digits than its factorization.

6452622745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 6452622745920 in words is "six trillion, four hundred fifty-two billion, six hundred twenty-two million, seven hundred forty-five thousand, nine hundred twenty".