194952640320 has 672 divisors, whose sum is σ = 738464563200. Its totient is φ = 48816359424.

The previous prime is 194952640313. The next prime is 194952640321. The reversal of 194952640320 is 23046259491.

194952640320 is a `hidden beast` number, since 1 + 94 + 9 + 526 + 4 + 0 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194952640321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187634361 + ... + 187635399.

It is an arithmetic number, because the mean of its divisors is an integer number (1098905600).

Almost surely, 2^194952640320 is an apocalyptic number.

194952640320 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 194952640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369232281600).

194952640320 is an abundant number, since it is smaller than the sum of its proper divisors (543511922880).

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

194952640320 is a wasteful number, since it uses less digits than its factorization.

194952640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 194952640320 in words is "one hundred ninety-four billion, nine hundred fifty-two million, six hundred forty thousand, three hundred twenty".