4009946864 has 80 divisors (see below), whose sum is σ = 9697522176. Its totient is φ = 1560518400.

The previous prime is 4009946779. The next prime is 4009946917. The reversal of 4009946864 is 4686499004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1682954 + ... + 1685334.

Almost surely, 2^4009946864 is an apocalyptic number.

4009946864 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 4009946864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4848761088).

4009946864 is an abundant number, since it is smaller than the sum of its proper divisors (5687575312).

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

4009946864 is a wasteful number, since it uses less digits than its factorization.

4009946864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 50.

The square root of 4009946864 is about 63324.1412417097. The cubic root of 4009946864 is about 1588.7157679927.

The spelling of 4009946864 in words is "four billion, nine million, nine hundred forty-six thousand, eight hundred sixty-four".