684419041152 has 1152 divisors, whose sum is σ = 2604906420480. Its totient is φ = 175068241920.

The previous prime is 684419041121. The next prime is 684419041153. The reversal of 684419041152 is 251140914486.

684419041152 is a `hidden beast` number, since 6 + 8 + 44 + 190 + 411 + 5 + 2 = 666.

684419041152 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 684419041098 and 684419041107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684419041153) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2186642148 + ... + 2186642460.

It is an arithmetic number, because the mean of its divisors is an integer number (2261203490).

Almost surely, 2^684419041152 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 684419041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302453210240).

684419041152 is an abundant number, since it is smaller than the sum of its proper divisors (1920487379328).

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

684419041152 is a wasteful number, since it uses less digits than its factorization.

684419041152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 684419041152 in words is "six hundred eighty-four billion, four hundred nineteen million, forty-one thousand, one hundred fifty-two".