4097379006 has 96 divisors (see below), whose sum is σ = 10542325248. Its totient is φ = 1168382880.

The previous prime is 4097378951. The next prime is 4097379023. The reversal of 4097379006 is 6009737904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2526876 + ... + 2528496.

It is an arithmetic number, because the mean of its divisors is an integer number (109815888).

Almost surely, 2^4097379006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4097379006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5271162624).

4097379006 is an abundant number, since it is smaller than the sum of its proper divisors (6444946242).

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

4097379006 is a wasteful number, since it uses less digits than its factorization.

4097379006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 4097379006 is about 64010.7725777466. The cubic root of 4097379006 is about 1600.1795379260.

The spelling of 4097379006 in words is "four billion, ninety-seven million, three hundred seventy-nine thousand, six".