6455896608 has 384 divisors, whose sum is σ = 22063104000. Its totient is φ = 1641959424.

The previous prime is 6455896583. The next prime is 6455896609. The reversal of 6455896608 is 8066985546.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (6455896609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10635441 + ... + 10636047.

It is an arithmetic number, because the mean of its divisors is an integer number (57456000).

Almost surely, 2^6455896608 is an apocalyptic number.

6455896608 is a gapful number since it is divisible by the number (68) 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 6455896608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031552000).

6455896608 is an abundant number, since it is smaller than the sum of its proper divisors (15607207392).

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

6455896608 is a wasteful number, since it uses less digits than its factorization.

6455896608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The square root of 6455896608 is about 80348.5943125329. The cubic root of 6455896608 is about 1862.0250623193.

The spelling of 6455896608 in words is "six billion, four hundred fifty-five million, eight hundred ninety-six thousand, six hundred eight".