680289101184 has 1536 divisors, whose sum is σ = 2643163176960. Its totient is φ = 149776957440.

The previous prime is 680289101171. The next prime is 680289101189. The reversal of 680289101184 is 481101982086.

It is a super-2 number, since 2×680289101184² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680289101189) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4173552687 + ... + 4173552849.

It is an arithmetic number, because the mean of its divisors is an integer number (1720809360).

Almost surely, 2^680289101184 is an apocalyptic number.

680289101184 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 680289101184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321581588480).

680289101184 is an abundant number, since it is smaller than the sum of its proper divisors (1962874075776).

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

680289101184 is a wasteful number, since it uses less digits than its factorization.

680289101184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 48.

The spelling of 680289101184 in words is "six hundred eighty billion, two hundred eighty-nine million, one hundred one thousand, one hundred eighty-four".