1642728371700 has 288 divisors, whose sum is σ = 5260895753344. Its totient is φ = 393137141760.

The previous prime is 1642728371693. The next prime is 1642728371723. The reversal of 1642728371700 is 71738272461.

It is a self number, because there is not a number n which added to its sum of digits gives 1642728371700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234772602 + ... + 234779598.

Almost surely, 2^{1642728371700} is an apocalyptic number.

1642728371700 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 1642728371700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630447876672).

1642728371700 is an abundant number, since it is smaller than the sum of its proper divisors (3618167381644).

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

1642728371700 is a wasteful number, since it uses less digits than its factorization.

1642728371700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8691 (or 8684 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 1642728371700 in words is "one trillion, six hundred forty-two billion, seven hundred twenty-eight million, three hundred seventy-one thousand, seven hundred".