7420214800 has 60 divisors (see below), whose sum is σ = 18027456660. Its totient is φ = 2934722560.

The previous prime is 7420214797. The next prime is 7420214819. The reversal of 7420214800 is 84120247.

It can be written as a sum of positive squares in 6 ways, for example, as 2757510144 + 4662704656 = 52512^2 + 68284^2 .

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 11 ways as a sum of consecutive naturals, for example, 68617 + ... + 139816.

It is an arithmetic number, because the mean of its divisors is an integer number (300457611).

Almost surely, 2^7420214800 is an apocalyptic number.

It is an amenable number.

7420214800 is an abundant number, since it is smaller than the sum of its proper divisors (10607241860).

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

7420214800 is a wasteful number, since it uses less digits than its factorization.

7420214800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208540 (or 208529 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 7420214800 is about 86140.6686762995. The cubic root of 7420214800 is about 1950.4679832302.

The spelling of 7420214800 in words is "seven billion, four hundred twenty million, two hundred fourteen thousand, eight hundred".