8416445664 has 192 divisors, whose sum is σ = 24991690752. Its totient is φ = 2457945600.

The previous prime is 8416445647. The next prime is 8416445671. The reversal of 8416445664 is 4665446148.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 3324079 + ... + 3326609.

It is an arithmetic number, because the mean of its divisors is an integer number (130165056).

Almost surely, 2^8416445664 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 8416445664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12495845376).

8416445664 is an abundant number, since it is smaller than the sum of its proper divisors (16575245088).

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

8416445664 is a wasteful number, since it uses less digits than its factorization.

8416445664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669 (or 2661 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The square root of 8416445664 is about 91741.1884815103. The cubic root of 8416445664 is about 2034.1184609563.

The spelling of 8416445664 in words is "eight billion, four hundred sixteen million, four hundred forty-five thousand, six hundred sixty-four".