199664974080 has 1296 divisors, whose sum is σ = 854401189824. Its totient is φ = 44013404160.

The previous prime is 199664974073. The next prime is 199664974099. The reversal of 199664974080 is 80479466991.

199664974080 is a `hidden beast` number, since 1 + 9 + 9 + 66 + 497 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×199664974080² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 199664973999 and 199664974017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2980074207 + ... + 2980074273.

Almost surely, 2^199664974080 is an apocalyptic number.

199664974080 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 199664974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427200594912).

199664974080 is an abundant number, since it is smaller than the sum of its proper divisors (654736215744).

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

199664974080 is an equidigital number, since it uses as much as digits as its factorization.

199664974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 199664974080 in words is "one hundred ninety-nine billion, six hundred sixty-four million, nine hundred seventy-four thousand, eighty".