199693347840 has 1408 divisors, whose sum is σ = 877229568000. Its totient is φ = 42042654720.

The previous prime is 199693347797. The next prime is 199693347859. The reversal of 199693347840 is 48743396991.

199693347840 is a `hidden beast` number, since 1 + 9 + 96 + 9 + 33 + 478 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1003484061 + ... + 1003484259.

Almost surely, 2^199693347840 is an apocalyptic number.

199693347840 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 199693347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438614784000).

199693347840 is an abundant number, since it is smaller than the sum of its proper divisors (677536220160).

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

199693347840 is a wasteful number, since it uses less digits than its factorization.

199693347840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 199693347840 in words is "one hundred ninety-nine billion, six hundred ninety-three million, three hundred forty-seven thousand, eight hundred forty".