684007638048 has 576 divisors, whose sum is σ = 2373969306240. Its totient is φ = 190991001600.

The previous prime is 684007638007. The next prime is 684007638049. The reversal of 684007638048 is 840836700486.

684007638048 is a `hidden beast` number, since 68 + 400 + 7 + 63 + 80 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 684007637985 and 684007638003.

It is not an unprimeable number, because it can be changed into a prime (684007638049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 446771043 + ... + 446772573.

It is an arithmetic number, because the mean of its divisors is an integer number (4121474490).

Almost surely, 2^684007638048 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 684007638048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186984653120).

684007638048 is an abundant number, since it is smaller than the sum of its proper divisors (1689961668192).

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

684007638048 is a wasteful number, since it uses less digits than its factorization.

684007638048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 684007638048 in words is "six hundred eighty-four billion, seven million, six hundred thirty-eight thousand, forty-eight".