684630475776 has 825 divisors, whose sum is σ = 2352750824369. Its totient is φ = 198264029184.

The previous prime is 684630475741. The next prime is 684630475777. The reversal of 684630475776 is 677574036486.

The square root of 684630475776 is 827424.

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

684630475776 is a `hidden beast` number, since 68 + 4 + 6 + 30 + 475 + 7 + 76 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 624985113600 + 59645362176 = 790560^2 + 244224^2 .

It is a super-2 number, since 2×684630475776² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (684630475777) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 40272380920 + ... + 40272380936.

Almost surely, 2^684630475776 is an apocalyptic number.

684630475776 is the 827424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684630475776

684630475776 is an abundant number, since it is smaller than the sum of its proper divisors (1668120348593).

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

684630475776 is an frugal number, since it uses more digits than its factorization.

684630475776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 684630475776 in words is "six hundred eighty-four billion, six hundred thirty million, four hundred seventy-five thousand, seven hundred seventy-six".