4465668000 has 192 divisors, whose sum is σ = 14775651072. Its totient is φ = 1178956800.

The previous prime is 4465667959. The next prime is 4465668023. The reversal of 4465668000 is 8665644.

It is a self number, because there is not a number n which added to its sum of digits gives 4465668000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1234194 + ... + 1237806.

It is an arithmetic number, because the mean of its divisors is an integer number (76956516).

Almost surely, 2^4465668000 is an apocalyptic number.

4465668000 is a gapful number since it is divisible by the number (40) 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 4465668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7387825536).

4465668000 is an abundant number, since it is smaller than the sum of its proper divisors (10309983072).

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

4465668000 is a wasteful number, since it uses less digits than its factorization.

4465668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 4465668000 is about 66825.6537566225. The cubic root of 4465668000 is about 1646.7543175564.

The spelling of 4465668000 in words is "four billion, four hundred sixty-five million, six hundred sixty-eight thousand".