73258606080 has 480 divisors, whose sum is σ = 278483613408. Its totient is φ = 17650483200.

The previous prime is 73258606067. The next prime is 73258606081. The reversal of 73258606080 is 8060685237.

73258606080 is a `hidden beast` number, since 7 + 3 + 2 + 586 + 0 + 60 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×73258606080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73258606081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45871842 + ... + 45873438.

Almost surely, 2^73258606080 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 73258606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139241806704).

73258606080 is an abundant number, since it is smaller than the sum of its proper divisors (205225007328).

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

73258606080 is a wasteful number, since it uses less digits than its factorization.

73258606080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 73258606080 in words is "seventy-three billion, two hundred fifty-eight million, six hundred six thousand, eighty".