199675689408 has 560 divisors, whose sum is σ = 651971406240. Its totient is φ = 60304932864.

The previous prime is 199675689407. The next prime is 199675689449. The reversal of 199675689408 is 804986576991.

199675689408 is a `hidden beast` number, since 1 + 9 + 96 + 7 + 56 + 89 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199675689407) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1457486716 + ... + 1457486852.

It is an arithmetic number, because the mean of its divisors is an integer number (1164234654).

Almost surely, 2^199675689408 is an apocalyptic number.

199675689408 is a gapful number since it is divisible by the number (18) 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 199675689408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325985703120).

199675689408 is an abundant number, since it is smaller than the sum of its proper divisors (452295716832).

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

199675689408 is an frugal number, since it uses more digits than its factorization.

199675689408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 199675689408 in words is "one hundred ninety-nine billion, six hundred seventy-five million, six hundred eighty-nine thousand, four hundred eight".