1642348680192 has 792 divisors, whose sum is σ = 5465129596992. Its totient is φ = 489104179200.

The previous prime is 1642348680149. The next prime is 1642348680229. The reversal of 1642348680192 is 2910868432461.

1642348680192 is a `hidden beast` number, since 1 + 64 + 23 + 486 + 80 + 1 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5247120228 + ... + 5247120540.

Almost surely, 2^{1642348680192} is an apocalyptic number.

1642348680192 is a gapful number since it is divisible by the number (12) 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 1642348680192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732564798496).

1642348680192 is an abundant number, since it is smaller than the sum of its proper divisors (3822780916800).

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

1642348680192 is an frugal number, since it uses more digits than its factorization.

1642348680192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1642348680192 in words is "one trillion, six hundred forty-two billion, three hundred forty-eight million, six hundred eighty thousand, one hundred ninety-two".