4071665664 has 208 divisors, whose sum is σ = 13163264640. Its totient is φ = 1233469440.

The previous prime is 4071665651. The next prime is 4071665671. The reversal of 4071665664 is 4665661704.

It is a super-2 number, since 2×4071665664² = 33156922558793121792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1214839 + ... + 1218185.

Almost surely, 2^4071665664 is an apocalyptic number.

4071665664 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 4071665664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6581632320).

4071665664 is an abundant number, since it is smaller than the sum of its proper divisors (9091598976).

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

4071665664 is a wasteful number, since it uses less digits than its factorization.

4071665664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4071665664 is about 63809.6047942628. The cubic root of 4071665664 is about 1596.8251711219.

The spelling of 4071665664 in words is "four billion, seventy-one million, six hundred sixty-five thousand, six hundred sixty-four".