7906638208 has 64 divisors (see below), whose sum is σ = 18014929920. Its totient is φ = 3386073600.

The previous prime is 7906638197. The next prime is 7906638211. The reversal of 7906638208 is 8028366097.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1745835 + ... + 1750357.

It is an arithmetic number, because the mean of its divisors is an integer number (281483280).

Almost surely, 2^7906638208 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 7906638208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9007464960).

7906638208 is an abundant number, since it is smaller than the sum of its proper divisors (10108291712).

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

7906638208 is a wasteful number, since it uses less digits than its factorization.

7906638208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6495 (or 6483 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The square root of 7906638208 is about 88919.2791693680. The cubic root of 7906638208 is about 1992.1893875408.

The spelling of 7906638208 in words is "seven billion, nine hundred six million, six hundred thirty-eight thousand, two hundred eight".