7006087872 has 560 divisors, whose sum is σ = 25837213248. Its totient is φ = 1831403520.

The previous prime is 7006087867. The next prime is 7006087909. The reversal of 7006087872 is 2787806007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25292598 + ... + 25292874.

Almost surely, 2^7006087872 is an apocalyptic number.

7006087872 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 7006087872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12918606624).

7006087872 is an abundant number, since it is smaller than the sum of its proper divisors (18831125376).

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

7006087872 is a wasteful number, since it uses less digits than its factorization.

7006087872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 7006087872 is about 83702.3767404487. The cubic root of 7006087872 is about 1913.4855782842.

The spelling of 7006087872 in words is "seven billion, six million, eighty-seven thousand, eight hundred seventy-two".