684034860096 has 441 divisors, whose sum is σ = 2371745428839. Its totient is φ = 195081239808.

The previous prime is 684034860059. The next prime is 684034860097. The reversal of 684034860096 is 690068430486.

The square root of 684034860096 is 827064.

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

It is a tau number, because it is divible by the number of its divisors (441).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (684034860097) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1250520495 + ... + 1250521041.

Almost surely, 2^684034860096 is an apocalyptic number.

684034860096 is the 827064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684034860096

684034860096 is an abundant number, since it is smaller than the sum of its proper divisors (1687710568743).

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

684034860096 is an frugal number, since it uses more digits than its factorization.

684034860096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 684034860096 in words is "six hundred eighty-four billion, thirty-four million, eight hundred sixty thousand, ninety-six".