4106906064 has 160 divisors (see below), whose sum is σ = 12008001280. Its totient is φ = 1360488960.

The previous prime is 4106906039. The next prime is 4106906099. The reversal of 4106906064 is 4606096014.

4106906064 is a `hidden beast` number, since 41 + 0 + 6 + 9 + 0 + 606 + 4 = 666.

4106906064 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 Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8432829 + ... + 8433315.

It is an arithmetic number, because the mean of its divisors is an integer number (75050008).

Almost surely, 2^4106906064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4106906064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004000640).

4106906064 is an abundant number, since it is smaller than the sum of its proper divisors (7901095216).

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

4106906064 is an equidigital number, since it uses as much as digits as its factorization.

4106906064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4106906064 is about 64085.1469843052. The cubic root of 4106906064 is about 1601.4188019205.

The spelling of 4106906064 in words is "four billion, one hundred six million, nine hundred six thousand, sixty-four".