7286959820 has 192 divisors, whose sum is σ = 19356696576. Its totient is φ = 2249026560.

The previous prime is 7286959811. The next prime is 7286959831. The reversal of 7286959820 is 289596827.

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, 3692354 + ... + 3694326.

It is an arithmetic number, because the mean of its divisors is an integer number (100816128).

Almost surely, 2^7286959820 is an apocalyptic number.

7286959820 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 7286959820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9678348288).

7286959820 is an abundant number, since it is smaller than the sum of its proper divisors (12069736756).

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

7286959820 is a wasteful number, since it uses less digits than its factorization.

7286959820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 56.

The square root of 7286959820 is about 85363.6914618856. The cubic root of 7286959820 is about 1938.7216416059.

The spelling of 7286959820 in words is "seven billion, two hundred eighty-six million, nine hundred fifty-nine thousand, eight hundred twenty".