199073302428672 has 2640 divisors, whose sum is σ = 749450611261440. Its totient is φ = 52314583007232.

The previous prime is 199073302428667. The next prime is 199073302428697. The reversal of 199073302428672 is 276824203370991.

199073302428672 is a `hidden beast` number, since 19 + 9 + 0 + 7 + 330 + 2 + 4 + 286 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 239 ways as a sum of consecutive naturals, for example, 519773635393 + ... + 519773635775.

It is an arithmetic number, because the mean of its divisors is an integer number (283882807296).

Almost surely, 2^{199073302428672} is an apocalyptic number.

199073302428672 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 199073302428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374725305630720).

199073302428672 is an abundant number, since it is smaller than the sum of its proper divisors (550377308832768).

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

199073302428672 is a wasteful number, since it uses less digits than its factorization.

199073302428672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 199073302428672 in words is "one hundred ninety-nine trillion, seventy-three billion, three hundred two million, four hundred twenty-eight thousand, six hundred seventy-two".