683052096384 has 1024 divisors, whose sum is σ = 2502835200000. Its totient is φ = 179075432448.

The previous prime is 683052096347. The next prime is 683052096407. The reversal of 683052096384 is 483690250386.

683052096384 is a `hidden beast` number, since 6 + 8 + 30 + 520 + 9 + 6 + 3 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 683052096384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2413611507 + ... + 2413611789.

It is an arithmetic number, because the mean of its divisors is an integer number (2444175000).

Almost surely, 2^683052096384 is an apocalyptic number.

683052096384 is a gapful number since it is divisible by the number (64) 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 683052096384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251417600000).

683052096384 is an abundant number, since it is smaller than the sum of its proper divisors (1819783103616).

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

683052096384 is a wasteful number, since it uses less digits than its factorization.

683052096384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 683052096384 in words is "six hundred eighty-three billion, fifty-two million, ninety-six thousand, three hundred eighty-four".