1682472591360 has 1344 divisors, whose sum is σ = 6704974209024. Its totient is φ = 404660551680.

The previous prime is 1682472591347. The next prime is 1682472591377. The reversal of 1682472591360 is 631952742861.

It is a happy number.

1682472591360 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 47 + 2 + 591 + 3 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1682472591297 and 1682472591306.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 13247815617 + ... + 13247815743.

It is an arithmetic number, because the mean of its divisors is an integer number (4988820096).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1682472591360 = 3364945182720, but 3⋅1682472591360 = 5047417774080 is not.

Almost surely, 2^{1682472591360} is an apocalyptic number.

1682472591360 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 1682472591360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352487104512).

1682472591360 is an abundant number, since it is smaller than the sum of its proper divisors (5022501617664).

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

1682472591360 is an frugal number, since it uses more digits than its factorization.

1682472591360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1682472591360 in words is "one trillion, six hundred eighty-two billion, four hundred seventy-two million, five hundred ninety-one thousand, three hundred sixty".