1680978753720 has 576 divisors, whose sum is σ = 6878241377280. Its totient is φ = 361618089984.

The previous prime is 1680978753709. The next prime is 1680978753721. The reversal of 1680978753720 is 273578790861.

1680978753720 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 9 + 78 + 7 + 537 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680978753721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19620817 + ... + 19706303.

It is an arithmetic number, because the mean of its divisors is an integer number (11941391280).

Almost surely, 2^{1680978753720} is an apocalyptic number.

1680978753720 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 1680978753720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439120688640).

1680978753720 is an abundant number, since it is smaller than the sum of its proper divisors (5197262623560).

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

1680978753720 is a wasteful number, since it uses less digits than its factorization.

1680978753720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85554 (or 85521 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 1680978753720 in words is "one trillion, six hundred eighty billion, nine hundred seventy-eight million, seven hundred fifty-three thousand, seven hundred twenty".