7222405824 has 280 divisors, whose sum is σ = 22119628608. Its totient is φ = 2329067520.

The previous prime is 7222405807. The next prime is 7222405831. The reversal of 7222405824 is 4285042227.

7222405824 is a `hidden beast` number, since 7 + 222 + 405 + 8 + 24 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 26650809 + ... + 26651079.

Almost surely, 2^7222405824 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 7222405824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11059814304).

7222405824 is an abundant number, since it is smaller than the sum of its proper divisors (14897222784).

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

7222405824 is a wasteful number, since it uses less digits than its factorization.

7222405824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 7222405824 is about 84984.7387711464. The cubic root of 7222405824 is about 1932.9797122034.

The spelling of 7222405824 in words is "seven billion, two hundred twenty-two million, four hundred five thousand, eight hundred twenty-four".