7216806240 has 576 divisors, whose sum is σ = 29757611520. Its totient is φ = 1628605440.

The previous prime is 7216806193. The next prime is 7216806263. The reversal of 7216806240 is 426086127.

7216806240 is a `hidden beast` number, since 7 + 21 + 6 + 8 + 0 + 624 + 0 = 666.

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 = 7216806195 and 7216806204.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 21802875 + ... + 21803205.

It is an arithmetic number, because the mean of its divisors is an integer number (51662520).

Almost surely, 2^7216806240 is an apocalyptic number.

7216806240 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 7216806240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14878805760).

7216806240 is an abundant number, since it is smaller than the sum of its proper divisors (22540805280).

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

7216806240 is a wasteful number, since it uses less digits than its factorization.

7216806240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7216806240 is about 84951.7877386933. The cubic root of 7216806240 is about 1932.4800319483.

The spelling of 7216806240 in words is "seven billion, two hundred sixteen million, eight hundred six thousand, two hundred forty".