684140774400 has 990 divisors, whose sum is σ = 2614414058718. Its totient is φ = 176770252800.

The previous prime is 684140774389. The next prime is 684140774419. The reversal of 684140774400 is 4477041486.

It is a happy number.

684140774400 is a `hidden beast` number, since 68 + 4 + 140 + 7 + 7 + 440 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 1891206144 + 682249568256 = 43488^2 + 825984^2 .

It is a super-3 number, since 3×684140774400³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2838758280 + ... + 2838758520.

Almost surely, 2^684140774400 is an apocalyptic number.

684140774400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684140774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307207029359).

684140774400 is an abundant number, since it is smaller than the sum of its proper divisors (1930273284318).

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

684140774400 is a wasteful number, since it uses less digits than its factorization.

684140774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 684140774400 in words is "six hundred eighty-four billion, one hundred forty million, seven hundred seventy-four thousand, four hundred".