7221363840 has 160 divisors (see below), whose sum is σ = 25788979260. Its totient is φ = 1925683200.

The previous prime is 7221363769. The next prime is 7221363847. The reversal of 7221363840 is 483631227.

It is a happy number.

7221363840 is a `hidden beast` number, since 7 + 2 + 2 + 13 + 638 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6963568704 + 257795136 = 83448^2 + 16056^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7221363795 and 7221363804.

It is not an unprimeable number, because it can be changed into a prime (7221363847) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17811 + ... + 121490.

Almost surely, 2^7221363840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7221363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12894489630).

7221363840 is an abundant number, since it is smaller than the sum of its proper divisors (18567615420).

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

7221363840 is a wasteful number, since it uses less digits than its factorization.

7221363840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139332 (or 139311 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7221363840 is about 84978.6081316939. The cubic root of 7221363840 is about 1932.8867500681.

The spelling of 7221363840 in words is "seven billion, two hundred twenty-one million, three hundred sixty-three thousand, eight hundred forty".