4108691664 has 240 divisors, whose sum is σ = 14960185344. Its totient is φ = 1020729600.

The previous prime is 4108691663. The next prime is 4108691669. The reversal of 4108691664 is 4661968014.

4108691664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4108691663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246969 + ... + 263079.

Almost surely, 2^4108691664 is an apocalyptic number.

4108691664 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 4108691664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480092672).

4108691664 is an abundant number, since it is smaller than the sum of its proper divisors (10851493680).

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

4108691664 is a wasteful number, since it uses less digits than its factorization.

4108691664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16166 (or 16157 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4108691664 is about 64099.0769356315. The cubic root of 4108691664 is about 1601.6508565014.

The spelling of 4108691664 in words is "four billion, one hundred eight million, six hundred ninety-one thousand, six hundred sixty-four".