73813568064 has 224 divisors, whose sum is σ = 218749351680. Its totient is φ = 21845311488.

The previous prime is 73813568057. The next prime is 73813568069. The reversal of 73813568064 is 46086531837.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 73813567998 and 73813568016.

It is not an unprimeable number, because it can be changed into a prime (73813568069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5473522 + ... + 5486990.

Almost surely, 2^73813568064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73813568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109374675840).

73813568064 is an abundant number, since it is smaller than the sum of its proper divisors (144935783616).

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

73813568064 is a wasteful number, since it uses less digits than its factorization.

73813568064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13597 (or 13587 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 73813568064 in words is "seventy-three billion, eight hundred thirteen million, five hundred sixty-eight thousand, sixty-four".