683437013952 has 224 divisors, whose sum is σ = 2262491288064. Its totient is φ = 176883302400.

The previous prime is 683437013933. The next prime is 683437013957. The reversal of 683437013952 is 259310734386.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 683437013895 and 683437013904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683437013957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4072048 + ... + 4236560.

It is an arithmetic number, because the mean of its divisors is an integer number (10100407536).

It is a 1-persistent number, because it is pandigital, but 2⋅683437013952 = 1366874027904 is not.

Almost surely, 2^683437013952 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 683437013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131245644032).

683437013952 is an abundant number, since it is smaller than the sum of its proper divisors (1579054274112).

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

683437013952 is a wasteful number, since it uses less digits than its factorization.

683437013952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164827 (or 164817 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 683437013952 in words is "six hundred eighty-three billion, four hundred thirty-seven million, thirteen thousand, nine hundred fifty-two".