684607479459840 has 1872 divisors, whose sum is σ = 2623142235755808. Its totient is φ = 164560896000000.

The previous prime is 684607479459833. The next prime is 684607479459851. The reversal of 684607479459840 is 48954974706486.

684607479459840 is a `hidden beast` number, since 6 + 8 + 4 + 60 + 7 + 479 + 4 + 5 + 9 + 84 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 684607479459840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 304134818715 + ... + 304134820965.

It is an arithmetic number, because the mean of its divisors is an integer number (1401251194314).

Almost surely, 2^{684607479459840} is an apocalyptic number.

684607479459840 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 684607479459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311571117877904).

684607479459840 is an abundant number, since it is smaller than the sum of its proper divisors (1938534756295968).

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

684607479459840 is a wasteful number, since it uses less digits than its factorization.

684607479459840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2410 counting only the distinct ones).

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

The spelling of 684607479459840 in words is "six hundred eighty-four trillion, six hundred seven billion, four hundred seventy-nine million, four hundred fifty-nine thousand, eight hundred forty".