7086673152 has 504 divisors, whose sum is σ = 24020957184. Its totient is φ = 2069286912.

The previous prime is 7086673141. The next prime is 7086673157. The reversal of 7086673152 is 2513766807.

It is a junction number, because it is equal to n+sod(n) for n = 7086673098 and 7086673107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7086673157) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 55800513 + ... + 55800639.

Almost surely, 2^7086673152 is an apocalyptic number.

7086673152 is a gapful number since it is divisible by the number (72) 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 7086673152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12010478592).

7086673152 is an abundant number, since it is smaller than the sum of its proper divisors (16934284032).

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

7086673152 is a wasteful number, since it uses less digits than its factorization.

7086673152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 7086673152 is about 84182.3802942160. The cubic root of 7086673152 is about 1920.7940465641.

The spelling of 7086673152 in words is "seven billion, eighty-six million, six hundred seventy-three thousand, one hundred fifty-two".