1682074544130 has 128 divisors (see below), whose sum is σ = 4501116000000. Its totient is φ = 446997533184.

The previous prime is 1682074544119. The next prime is 1682074544141. The reversal of 1682074544130 is 314454702861.

1682074544130 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 0 + 74 + 544 + 1 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (1682074544119) and next prime (1682074544141).

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

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 63 ways as a sum of consecutive naturals, for example, 95514766 + ... + 95532374.

It is an arithmetic number, because the mean of its divisors is an integer number (35164968750).

Almost surely, 2^{1682074544130} is an apocalyptic number.

1682074544130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1682074544130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250558000000).

1682074544130 is an abundant number, since it is smaller than the sum of its proper divisors (2819041455870).

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

1682074544130 is a wasteful number, since it uses less digits than its factorization.

1682074544130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18833 (or 18827 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1682074544130 in words is "one trillion, six hundred eighty-two billion, seventy-four million, five hundred forty-four thousand, one hundred thirty".