1642828473000 has 2304 divisors, whose sum is σ = 7242195018240. Its totient is φ = 342641664000.

The previous prime is 1642828472969. The next prime is 1642828473007. The reversal of 1642828473000 is 3748282461.

It is a happy number.

1642828473000 is a `hidden beast` number, since 1 + 64 + 2 + 8 + 284 + 7 + 300 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642828473007) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 15949790949 + ... + 15949791051.

It is an arithmetic number, because the mean of its divisors is an integer number (3143313810).

Almost surely, 2^{1642828473000} is an apocalyptic number.

1642828473000 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 1642828473000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621097509120).

1642828473000 is an abundant number, since it is smaller than the sum of its proper divisors (5599366545240).

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

1642828473000 is a wasteful number, since it uses less digits than its factorization.

1642828473000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1642828473000 in words is "one trillion, six hundred forty-two billion, eight hundred twenty-eight million, four hundred seventy-three thousand".