4673198396160 has 2304 divisors, whose sum is σ = 20338225152000. Its totient is φ = 1027118776320.

The previous prime is 4673198396159. The next prime is 4673198396173. The reversal of 4673198396160 is 616938913764.

4673198396160 is a `hidden beast` number, since 4 + 6 + 7 + 3 + 1 + 9 + 8 + 3 + 9 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 255 ways as a sum of consecutive naturals, for example, 29765594802 + ... + 29765594958.

Almost surely, 2^{4673198396160} is an apocalyptic number.

4673198396160 is a gapful number since it is divisible by the number (40) 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 4673198396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10169112576000).

4673198396160 is an abundant number, since it is smaller than the sum of its proper divisors (15665026755840).

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

4673198396160 is an frugal number, since it uses more digits than its factorization.

4673198396160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 205 counting only the distinct ones).

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

The spelling of 4673198396160 in words is "four trillion, six hundred seventy-three billion, one hundred ninety-eight million, three hundred ninety-six thousand, one hundred sixty".