684461783579328 has 280 divisors, whose sum is σ = 2135838175173120. Its totient is φ = 216136545799680.

The previous prime is 684461783579317. The next prime is 684461783579333. The reversal of 684461783579328 is 823975387164486.

684461783579328 is a `hidden beast` number, since 6 + 8 + 4 + 4 + 6 + 1 + 7 + 8 + 3 + 579 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Sastry number since concatenated with its successor gives a square.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2507867193 + ... + 2508140103.

Almost surely, 2^{684461783579328} 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 684461783579328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067919087586560).

684461783579328 is an abundant number, since it is smaller than the sum of its proper divisors (1451376391593792).

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

684461783579328 is a wasteful number, since it uses less digits than its factorization.

684461783579328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298417 (or 298398 counting only the distinct ones).

The product of its digits is 11705057280, while the sum is 81.

The spelling of 684461783579328 in words is "six hundred eighty-four trillion, four hundred sixty-one billion, seven hundred eighty-three million, five hundred seventy-nine thousand, three hundred twenty-eight".