73659106560 has 288 divisors, whose sum is σ = 253938384000. Its totient is φ = 18089017344.

The previous prime is 73659106559. The next prime is 73659106567. The reversal of 73659106560 is 6560195637.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73659106567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24908602 + ... + 24911558.

It is an arithmetic number, because the mean of its divisors is an integer number (881730500).

Almost surely, 2^73659106560 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 73659106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126969192000).

73659106560 is an abundant number, since it is smaller than the sum of its proper divisors (180279277440).

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

73659106560 is a wasteful number, since it uses less digits than its factorization.

73659106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 48.

The spelling of 73659106560 in words is "seventy-three billion, six hundred fifty-nine million, one hundred six thousand, five hundred sixty".