1642200659736 has 384 divisors, whose sum is σ = 5447894484480. Its totient is φ = 401536548864.

The previous prime is 1642200659677. The next prime is 1642200659767. The reversal of 1642200659736 is 6379560022461.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42269376 + ... + 42308208.

It is an arithmetic number, because the mean of its divisors is an integer number (14187225220).

Almost surely, 2^{1642200659736} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1642200659736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723947242240).

1642200659736 is an abundant number, since it is smaller than the sum of its proper divisors (3805693824744).

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

1642200659736 is a wasteful number, since it uses less digits than its factorization.

1642200659736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38963 (or 38942 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 1642200659736 in words is "one trillion, six hundred forty-two billion, two hundred million, six hundred fifty-nine thousand, seven hundred thirty-six".