1682407397376 has 288 divisors, whose sum is σ = 5258193857280. Its totient is φ = 536416100352.

The previous prime is 1682407397371. The next prime is 1682407397387. The reversal of 1682407397376 is 6737937042861.

1682407397376 is a `hidden beast` number, since 1 + 68 + 2 + 407 + 39 + 73 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682407397371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11372781 + ... + 11519763.

It is an arithmetic number, because the mean of its divisors is an integer number (18257617560).

Almost surely, 2^{1682407397376} is an apocalyptic number.

1682407397376 is a gapful number since it is divisible by the number (16) 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 1682407397376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629096928640).

1682407397376 is an abundant number, since it is smaller than the sum of its proper divisors (3575786459904).

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

1682407397376 is an equidigital number, since it uses as much as digits as its factorization.

1682407397376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147043 (or 147011 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 1682407397376 in words is "one trillion, six hundred eighty-two billion, four hundred seven million, three hundred ninety-seven thousand, three hundred seventy-six".