684454680 has 384 divisors, whose sum is σ = 2901225600. Its totient is φ = 135806976.

The previous prime is 684454669. The next prime is 684454691. The reversal of 684454680 is 86454486.

684454680 is a `hidden beast` number, since 68 + 44 + 546 + 8 + 0 = 666.

684454680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (684454669) and next prime (684454691).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 556306 + ... + 557534.

It is an arithmetic number, because the mean of its divisors is an integer number (7555275).

Almost surely, 2^684454680 is an apocalyptic number.

684454680 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 684454680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450612800).

684454680 is an abundant number, since it is smaller than the sum of its proper divisors (2216770920).

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

684454680 is a wasteful number, since it uses less digits than its factorization.

684454680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 684454680 is about 26162.0847793137. The cubic root of 684454680 is about 881.2819985363.

The spelling of 684454680 in words is "six hundred eighty-four million, four hundred fifty-four thousand, six hundred eighty".