7028627644896 has 576 divisors, whose sum is σ = 23128614028800. Its totient is φ = 1851294044160.

The previous prime is 7028627644867. The next prime is 7028627644897. The reversal of 7028627644896 is 6984467268207.

It is a self number, because there is not a number n which added to its sum of digits gives 7028627644896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7028627644897) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 479141050 + ... + 479155718.

It is an arithmetic number, because the mean of its divisors is an integer number (40153843800).

Almost surely, 2^{7028627644896} is an apocalyptic number.

7028627644896 is a gapful number since it is divisible by the number (76) 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 7028627644896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11564307014400).

7028627644896 is an abundant number, since it is smaller than the sum of its proper divisors (16099986383904).

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

7028627644896 is a wasteful number, since it uses less digits than its factorization.

7028627644896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14903 (or 14884 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 69.

The spelling of 7028627644896 in words is "seven trillion, twenty-eight billion, six hundred twenty-seven million, six hundred forty-four thousand, eight hundred ninety-six".