76224820352 has 72 divisors (see below), whose sum is σ = 158893304745. Its totient is φ = 36420989440.

The previous prime is 76224820261. The next prime is 76224820381. The reversal of 76224820352 is 25302842267.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 74258430016 + 1966390336 = 272504^2 + 44344^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=195224.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71841902 + ... + 71842962.

Almost surely, 2^76224820352 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 76224820352

76224820352 is an abundant number, since it is smaller than the sum of its proper divisors (82668484393).

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

76224820352 is an frugal number, since it uses more digits than its factorization.

76224820352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 76224820352 in words is "seventy-six billion, two hundred twenty-four million, eight hundred twenty thousand, three hundred fifty-two".