7860638016 has 336 divisors, whose sum is σ = 28671926400. Its totient is φ = 2041159680.

The previous prime is 7860638003. The next prime is 7860638017. The reversal of 7860638016 is 6108360687.

7860638016 is a `hidden beast` number, since 7 + 8 + 6 + 0 + 638 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7860638017) 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, 2171440 + ... + 2175056.

Almost surely, 2^7860638016 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 7860638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14335963200).

7860638016 is an abundant number, since it is smaller than the sum of its proper divisors (20811288384).

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

7860638016 is a wasteful number, since it uses less digits than its factorization.

7860638016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7860638016 is about 88660.2392056326. The cubic root of 7860638016 is about 1988.3184043336.

The spelling of 7860638016 in words is "seven billion, eight hundred sixty million, six hundred thirty-eight thousand, sixteen".