1682079436800 has 2496 divisors, whose sum is σ = 7595691225600. Its totient is φ = 361184624640.

The previous prime is 1682079436777. The next prime is 1682079436831. The reversal of 1682079436800 is 86349702861.

1682079436800 is a `hidden beast` number, since 1 + 68 + 2 + 0 + 79 + 436 + 80 + 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, 45461606382 + ... + 45461606418.

Almost surely, 2^{1682079436800} is an apocalyptic number.

1682079436800 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 1682079436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797845612800).

1682079436800 is an abundant number, since it is smaller than the sum of its proper divisors (5913611788800).

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

1682079436800 is an frugal number, since it uses more digits than its factorization.

1682079436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1682079436800 in words is "one trillion, six hundred eighty-two billion, seventy-nine million, four hundred thirty-six thousand, eight hundred".