73437020160 has 672 divisors, whose sum is σ = 289910154240. Its totient is φ = 15502147584.

The previous prime is 73437020141. The next prime is 73437020171. The reversal of 73437020160 is 6102073437.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2532311026 + ... + 2532311054.

It is an arithmetic number, because the mean of its divisors is an integer number (431413920).

Almost surely, 2^73437020160 is an apocalyptic number.

73437020160 is a gapful number since it is divisible by the number (70) 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 73437020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144955077120).

73437020160 is an abundant number, since it is smaller than the sum of its proper divisors (216473134080).

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

73437020160 is an frugal number, since it uses more digits than its factorization.

73437020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

Adding to 73437020160 its reverse (6102073437), we get a palindrome (79539093597).

The spelling of 73437020160 in words is "seventy-three billion, four hundred thirty-seven million, twenty thousand, one hundred sixty".