73506142080 has 768 divisors, whose sum is σ = 307419840000. Its totient is φ = 15809789952.

The previous prime is 73506142079. The next prime is 73506142081. The reversal of 73506142080 is 8024160537.

73506142080 is a `hidden beast` number, since 7 + 3 + 506 + 142 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (73506142079) and next prime (73506142081).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73506142081) 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 95 ways as a sum of consecutive naturals, for example, 175432111 + ... + 175432529.

It is an arithmetic number, because the mean of its divisors is an integer number (400286250).

Almost surely, 2^73506142080 is an apocalyptic number.

73506142080 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 73506142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153709920000).

73506142080 is an abundant number, since it is smaller than the sum of its proper divisors (233913697920).

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

73506142080 is a wasteful number, since it uses less digits than its factorization.

73506142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 73506142080 in words is "seventy-three billion, five hundred six million, one hundred forty-two thousand, eighty".