680184733536 has 576 divisors, whose sum is σ = 2561840386560. Its totient is φ = 170565212160.

The previous prime is 680184733513. The next prime is 680184733537. The reversal of 680184733536 is 635337481086.

680184733536 is a `hidden beast` number, since 68 + 0 + 1 + 8 + 47 + 3 + 3 + 536 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680184733537) 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, 55943970 + ... + 55956126.

It is an arithmetic number, because the mean of its divisors is an integer number (4447639560).

Almost surely, 2^680184733536 is an apocalyptic number.

680184733536 is a gapful number since it is divisible by the number (66) 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 680184733536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280920193280).

680184733536 is an abundant number, since it is smaller than the sum of its proper divisors (1881655653024).

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

680184733536 is a wasteful number, since it uses less digits than its factorization.

680184733536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12252 (or 12209 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 680184733536 in words is "six hundred eighty billion, one hundred eighty-four million, seven hundred thirty-three thousand, five hundred thirty-six".