1680357747288 has 128 divisors (see below), whose sum is σ = 4597509611520. Its totient is φ = 507565637760.

The previous prime is 1680357747281. The next prime is 1680357747301. The reversal of 1680357747288 is 8827477530861.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680357747281) 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, 351022831 + ... + 351027617.

It is an arithmetic number, because the mean of its divisors is an integer number (35918043840).

Almost surely, 2^{1680357747288} 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 1680357747288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298754805760).

1680357747288 is an abundant number, since it is smaller than the sum of its proper divisors (2917151864232).

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

1680357747288 is a wasteful number, since it uses less digits than its factorization.

1680357747288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8797 (or 8793 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 66.

The spelling of 1680357747288 in words is "one trillion, six hundred eighty billion, three hundred fifty-seven million, seven hundred forty-seven thousand, two hundred eighty-eight".