199562268672 has 728 divisors, whose sum is σ = 663292305144. Its totient is φ = 59624128512.

The previous prime is 199562268667. The next prime is 199562268683. The reversal of 199562268672 is 276862265991.

199562268672 is a `hidden beast` number, since 1 + 9 + 9 + 562 + 2 + 6 + 8 + 67 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15912308736 + 183649959936 = 126144^2 + 428544^2 .

Its product of digits (39191040) is a multiple of the sum of its prime divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2057342928 + ... + 2057343024.

Almost surely, 2^199562268672 is an apocalyptic number.

199562268672 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 199562268672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331646152572).

199562268672 is an abundant number, since it is smaller than the sum of its proper divisors (463730036472).

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

199562268672 is an frugal number, since it uses more digits than its factorization.

199562268672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 168 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 199562268672 in words is "one hundred ninety-nine billion, five hundred sixty-two million, two hundred sixty-eight thousand, six hundred seventy-two".