683610641280 has 512 divisors, whose sum is σ = 2770180300800. Its totient is φ = 156074065920.

The previous prime is 683610641201. The next prime is 683610641293. The reversal of 683610641280 is 82146016386.

683610641280 is a `hidden beast` number, since 6 + 8 + 3 + 610 + 6 + 4 + 1 + 28 + 0 = 666.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124948945 + ... + 124954415.

It is an arithmetic number, because the mean of its divisors is an integer number (5410508400).

Almost surely, 2^683610641280 is an apocalyptic number.

683610641280 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 683610641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385090150400).

683610641280 is an abundant number, since it is smaller than the sum of its proper divisors (2086569659520).

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

683610641280 is a wasteful number, since it uses less digits than its factorization.

683610641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6539 (or 6521 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 683610641280 in words is "six hundred eighty-three billion, six hundred ten million, six hundred forty-one thousand, two hundred eighty".