73448081064 has 96 divisors (see below), whose sum is σ = 206405046120. Its totient is φ = 23575339008.

The previous prime is 73448081059. The next prime is 73448081089. The reversal of 73448081064 is 46018084437.

73448081064 is a `hidden beast` number, since 7 + 34 + 480 + 81 + 0 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71106488964 + 2341592100 = 266658^2 + 48390^2 .

It is a super-2 number, since 2×73448081064² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116292 + ... + 400524.

Almost surely, 2^73448081064 is an apocalyptic number.

73448081064 is a gapful number since it is divisible by the number (74) 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 73448081064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103202523060).

73448081064 is an abundant number, since it is smaller than the sum of its proper divisors (132956965056).

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

73448081064 is a wasteful number, since it uses less digits than its factorization.

73448081064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284379 (or 284372 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 73448081064 in words is "seventy-three billion, four hundred forty-eight million, eighty-one thousand, sixty-four".