2163035664 has 200 divisors, whose sum is σ = 6844704768. Its totient is φ = 656501760.

The previous prime is 2163035663. The next prime is 2163035687. The reversal of 2163035664 is 4665303612.

2163035664 is a `hidden beast` number, since 216 + 30 + 356 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2163035663) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 681409 + ... + 684575.

Almost surely, 2^2163035664 is an apocalyptic number.

2163035664 is a gapful number since it is divisible by the number (24) 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 2163035664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422352384).

2163035664 is an abundant number, since it is smaller than the sum of its proper divisors (4681669104).

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

2163035664 is a wasteful number, since it uses less digits than its factorization.

2163035664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2163035664 is about 46508.4472327340. The cubic root of 2163035664 is about 1293.2660990544.

The spelling of 2163035664 in words is "two billion, one hundred sixty-three million, thirty-five thousand, six hundred sixty-four".