7287189840 has 480 divisors, whose sum is σ = 30153784320. Its totient is φ = 1611187200.

The previous prime is 7287189839. The next prime is 7287189841. The reversal of 7287189840 is 489817827.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7287189839) and next prime (7287189841).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7287189841) 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, 3279930 + ... + 3282150.

It is an arithmetic number, because the mean of its divisors is an integer number (62820384).

Almost surely, 2^7287189840 is an apocalyptic number.

7287189840 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 7287189840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15076892160).

7287189840 is an abundant number, since it is smaller than the sum of its proper divisors (22866594480).

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

7287189840 is a wasteful number, since it uses less digits than its factorization.

7287189840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 7287189840 is about 85365.0387453787. The cubic root of 7287189840 is about 1938.7420406050.

The spelling of 7287189840 in words is "seven billion, two hundred eighty-seven million, one hundred eighty-nine thousand, eight hundred forty".