6455607552 has 216 divisors, whose sum is σ = 19485779040. Its totient is φ = 2108160000.

The previous prime is 6455607541. The next prime is 6455607559. The reversal of 6455607552 is 2557065546.

6455607552 is a `hidden beast` number, since 6 + 45 + 56 + 0 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 6455607498 and 6455607507.

It is not an unprimeable number, because it can be changed into a prime (6455607559) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25719427 + ... + 25719677.

It is an arithmetic number, because the mean of its divisors is an integer number (90211940).

Almost surely, 2^6455607552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6455607552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9742889520).

6455607552 is an abundant number, since it is smaller than the sum of its proper divisors (13030171488).

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

6455607552 is an equidigital number, since it uses as much as digits as its factorization.

6455607552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The square root of 6455607552 is about 80346.7955303757. The cubic root of 6455607552 is about 1861.9972718314.

The spelling of 6455607552 in words is "six billion, four hundred fifty-five million, six hundred seven thousand, five hundred fifty-two".