683361891840 has 640 divisors, whose sum is σ = 2412899850240. Its totient is φ = 164337942528.

The previous prime is 683361891827. The next prime is 683361891841. The reversal of 683361891840 is 48198163386.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683361891841) by changing a digit.

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, 253753534 + ... + 253756226.

It is an arithmetic number, because the mean of its divisors is an integer number (3770156016).

Almost surely, 2^683361891840 is an apocalyptic number.

683361891840 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 683361891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206449925120).

683361891840 is an abundant number, since it is smaller than the sum of its proper divisors (1729537958400).

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

683361891840 is a wasteful number, since it uses less digits than its factorization.

683361891840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 683361891840 in words is "six hundred eighty-three billion, three hundred sixty-one million, eight hundred ninety-one thousand, eight hundred forty".