73386510834 has 128 divisors (see below), whose sum is σ = 182553477120. Its totient is φ = 19150919424.

The previous prime is 73386510829. The next prime is 73386510839. The reversal of 73386510834 is 43801568337.

It is an interprime number because it is at equal distance from previous prime (73386510829) and next prime (73386510839).

It is not an unprimeable number, because it can be changed into a prime (73386510839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30717312 + ... + 30719700.

It is an arithmetic number, because the mean of its divisors is an integer number (1426199040).

Almost surely, 2^73386510834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73386510834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91276738560).

73386510834 is an abundant number, since it is smaller than the sum of its proper divisors (109166966286).

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

73386510834 is a wasteful number, since it uses less digits than its factorization.

73386510834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984.

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 73386510834 in words is "seventy-three billion, three hundred eighty-six million, five hundred ten thousand, eight hundred thirty-four".