990900793600 has 243 divisors, whose sum is σ = 2568654885279. Its totient is φ = 378426470400.

The previous prime is 990900793583. The next prime is 990900793613. The reversal of 990900793600 is 6397009099.

The square root of 990900793600 is 995440.

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 58455634176 + 932445159424 = 241776^2 + 965632^2 .

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, 1831609330 + ... + 1831609870.

Almost surely, 2^990900793600 is an apocalyptic number.

990900793600 is the 995440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990900793600

990900793600 is an abundant number, since it is smaller than the sum of its proper divisors (1577754091679).

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

990900793600 is an frugal number, since it uses more digits than its factorization.

990900793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 826686, while the sum is 52.

The spelling of 990900793600 in words is "nine hundred ninety billion, nine hundred million, seven hundred ninety-three thousand, six hundred".