1670728621600 has 144 divisors (see below), whose sum is σ = 4112073060480. Its totient is φ = 662823449600.

The previous prime is 1670728621537. The next prime is 1670728621609. The reversal of 1670728621600 is 61268270761.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1670728621609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266503266 + ... + 266509534.

It is an arithmetic number, because the mean of its divisors is an integer number (28556062920).

Almost surely, 2^{1670728621600} is an apocalyptic number.

1670728621600 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 1670728621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056036530240).

1670728621600 is an abundant number, since it is smaller than the sum of its proper divisors (2441344438880).

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

1670728621600 is a wasteful number, since it uses less digits than its factorization.

1670728621600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8963 (or 8950 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 1670728621600 in words is "one trillion, six hundred seventy billion, seven hundred twenty-eight million, six hundred twenty-one thousand, six hundred".