8980330758400 has 243 divisors, whose sum is σ = 22739245403959. Its totient is φ = 3511292784640.

The previous prime is 8980330758341. The next prime is 8980330758431. The reversal of 8980330758400 is 48570330898.

The square root of 8980330758400 is 2996720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 219488502016 + 8760842256384 = 468496^2 + 2959872^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11267666802 + ... + 11267667598.

Almost surely, 2^{8980330758400} is an apocalyptic number.

8980330758400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8980330758400 is the 2996720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8980330758400

8980330758400 is an abundant number, since it is smaller than the sum of its proper divisors (13758914645559).

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

8980330758400 is an frugal number, since it uses more digits than its factorization.

8980330758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 8980330758400 in words is "eight trillion, nine hundred eighty billion, three hundred thirty million, seven hundred fifty-eight thousand, four hundred".