4094831664 has 720 divisors, whose sum is σ = 16085637120. Its totient is φ = 975110400.

The previous prime is 4094831659. The next prime is 4094831677. The reversal of 4094831664 is 4661384904.

4094831664 is a `hidden beast` number, since 4 + 0 + 9 + 483 + 166 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 132091329 + ... + 132091359.

Almost surely, 2^4094831664 is an apocalyptic number.

4094831664 is a gapful number since it is divisible by the number (44) 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 4094831664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8042818560).

4094831664 is an abundant number, since it is smaller than the sum of its proper divisors (11990805456).

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

4094831664 is a wasteful number, since it uses less digits than its factorization.

4094831664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4094831664 is about 63990.8717240201. The cubic root of 4094831664 is about 1599.8478584502.

The spelling of 4094831664 in words is "four billion, ninety-four million, eight hundred thirty-one thousand, six hundred sixty-four".