73195563168 has 480 divisors, whose sum is σ = 272135977344. Its totient is φ = 18780346368.

The previous prime is 73195563151. The next prime is 73195563187. The reversal of 73195563168 is 86136559137.

73195563168 is a `hidden beast` number, since 7 + 3 + 19 + 5 + 563 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 8723071 + ... + 8731457.

Almost surely, 2^73195563168 is an apocalyptic number.

73195563168 is a gapful number since it is divisible by the number (78) 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 73195563168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136067988672).

73195563168 is an abundant number, since it is smaller than the sum of its proper divisors (198940414176).

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

73195563168 is a wasteful number, since it uses less digits than its factorization.

73195563168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8466 (or 8449 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 73195563168 in words is "seventy-three billion, one hundred ninety-five million, five hundred sixty-three thousand, one hundred sixty-eight".