7128002000 has 320 divisors, whose sum is σ = 20996751360. Its totient is φ = 2286144000.

The previous prime is 7128001997. The next prime is 7128002023. The reversal of 7128002000 is 2008217.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 63 ways as a sum of consecutive naturals, for example, 33781895 + ... + 33782105.

It is an arithmetic number, because the mean of its divisors is an integer number (65614848).

Almost surely, 2^7128002000 is an apocalyptic number.

7128002000 is a gapful number since it is divisible by the number (70) 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 7128002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10498375680).

7128002000 is an abundant number, since it is smaller than the sum of its proper divisors (13868749360).

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

7128002000 is a wasteful number, since it uses less digits than its factorization.

7128002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 7128002000 is about 84427.4955213051. The cubic root of 7128002000 is about 1924.5207779938.

The spelling of 7128002000 in words is "seven billion, one hundred twenty-eight million, two thousand".