199860367674240 has 768 divisors, whose sum is σ = 866741501808000. Its totient is φ = 42168335892480.

The previous prime is 199860367674197. The next prime is 199860367674257. The reversal of 199860367674240 is 42476763068991.

It is a happy number.

199860367674240 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 603 + 6 + 7 + 6 + 7 + 4 + 2 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21793060 + ... + 29574620.

Almost surely, 2^{199860367674240} is an apocalyptic number.

199860367674240 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 199860367674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433370750904000).

199860367674240 is an abundant number, since it is smaller than the sum of its proper divisors (666881134133760).

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

199860367674240 is a wasteful number, since it uses less digits than its factorization.

199860367674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7781620 (or 7781591 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 199860367674240 in words is "one hundred ninety-nine trillion, eight hundred sixty billion, three hundred sixty-seven million, six hundred seventy-four thousand, two hundred forty".