199840786432 has 384 divisors, whose sum is σ = 501935616000. Its totient is φ = 77635584000.

The previous prime is 199840786403. The next prime is 199840786459. The reversal of 199840786432 is 234687048991.

199840786432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 796178307 + ... + 796178557.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124000).

Almost surely, 2^199840786432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199840786432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250967808000).

199840786432 is an abundant number, since it is smaller than the sum of its proper divisors (302094829568).

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

199840786432 is a wasteful number, since it uses less digits than its factorization.

199840786432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 61.

The spelling of 199840786432 in words is "one hundred ninety-nine billion, eight hundred forty million, seven hundred eighty-six thousand, four hundred thirty-two".