7028149867200 has 1512 divisors, whose sum is σ = 31523827345920. Its totient is φ = 1453681152000.

The previous prime is 7028149867181. The next prime is 7028149867261. The reversal of 7028149867200 is 27689418207.

It is a happy number.

7028149867200 is a `hidden beast` number, since 7 + 0 + 2 + 81 + 498 + 6 + 72 + 0 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 2915033995 + ... + 2915036405.

It is an arithmetic number, because the mean of its divisors is an integer number (20849092160).

Almost surely, 2^{7028149867200} is an apocalyptic number.

7028149867200 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 7028149867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15761913672960).

7028149867200 is an abundant number, since it is smaller than the sum of its proper divisors (24495677478720).

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

7028149867200 is a wasteful number, since it uses less digits than its factorization.

7028149867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 7028149867200 in words is "seven trillion, twenty-eight billion, one hundred forty-nine million, eight hundred sixty-seven thousand, two hundred".