199933764480 has 640 divisors, whose sum is σ = 738979718400. Its totient is φ = 51478364160.

The previous prime is 199933764467. The next prime is 199933764629. The reversal of 199933764480 is 84467339991.

199933764480 is a `hidden beast` number, since 1 + 9 + 9 + 93 + 3 + 7 + 64 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 231672529 + ... + 231673391.

It is an arithmetic number, because the mean of its divisors is an integer number (1154655810).

Almost surely, 2^199933764480 is an apocalyptic number.

199933764480 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 199933764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369489859200).

199933764480 is an abundant number, since it is smaller than the sum of its proper divisors (539045953920).

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

199933764480 is a wasteful number, since it uses less digits than its factorization.

199933764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1023 counting only the distinct ones).

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

The spelling of 199933764480 in words is "one hundred ninety-nine billion, nine hundred thirty-three million, seven hundred sixty-four thousand, four hundred eighty".