4465645968 has 320 divisors, whose sum is σ = 14284800000. Its totient is φ = 1199632896.

The previous prime is 4465645967. The next prime is 4465645973. The reversal of 4465645968 is 8695465644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4465645967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22440333 + ... + 22440531.

It is an arithmetic number, because the mean of its divisors is an integer number (44640000).

Almost surely, 2^4465645968 is an apocalyptic number.

4465645968 is a gapful number since it is divisible by the number (48) 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 4465645968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142400000).

4465645968 is an abundant number, since it is smaller than the sum of its proper divisors (9819154032).

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

4465645968 is a wasteful number, since it uses less digits than its factorization.

4465645968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 57.

The square root of 4465645968 is about 66825.4889095471. The cubic root of 4465645968 is about 1646.7516093874.

The spelling of 4465645968 in words is "four billion, four hundred sixty-five million, six hundred forty-five thousand, nine hundred sixty-eight".