1643358046680 has 768 divisors, whose sum is σ = 6495121728000. Its totient is φ = 368428870656.

The previous prime is 1643358046669. The next prime is 1643358046697. The reversal of 1643358046680 is 866408533461.

1643358046680 is a `hidden beast` number, since 16 + 4 + 3 + 3 + 580 + 46 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 953776299 + ... + 953778021.

It is an arithmetic number, because the mean of its divisors is an integer number (8457189750).

Almost surely, 2^{1643358046680} is an apocalyptic number.

1643358046680 is a gapful number since it is divisible by the number (10) 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 1643358046680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247560864000).

1643358046680 is an abundant number, since it is smaller than the sum of its proper divisors (4851763681320).

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

1643358046680 is a wasteful number, since it uses less digits than its factorization.

1643358046680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 1643358046680 in words is "one trillion, six hundred forty-three billion, three hundred fifty-eight million, forty-six thousand, six hundred eighty".