1680751920240 has 80 divisors (see below), whose sum is σ = 5789256621600. Its totient is φ = 448200511488.

The previous prime is 1680751920233. The next prime is 1680751920241. The reversal of 1680751920240 is 420291570861.

1680751920240 is a `hidden beast` number, since 16 + 80 + 7 + 519 + 2 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680751920241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389060785 + ... + 389065104.

It is an arithmetic number, because the mean of its divisors is an integer number (72365707770).

Almost surely, 2^{1680751920240} is an apocalyptic number.

1680751920240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680751920240 is an abundant number, since it is smaller than the sum of its proper divisors (4108504701360).

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

1680751920240 is a wasteful number, since it uses less digits than its factorization.

1680751920240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778125911 (or 778125899 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1680751920240 in words is "one trillion, six hundred eighty billion, seven hundred fifty-one million, nine hundred twenty thousand, two hundred forty".