80573667840 has 960 divisors, whose sum is σ = 323338055040. Its totient is φ = 19110297600.

The previous prime is 80573667817. The next prime is 80573667841. The reversal of 80573667840 is 4876637508.

80573667840 is a `hidden beast` number, since 8 + 0 + 573 + 6 + 67 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (80573667841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200931640 + ... + 200932040.

It is an arithmetic number, because the mean of its divisors is an integer number (336810474).

Almost surely, 2^80573667840 is an apocalyptic number.

80573667840 is a gapful number since it is divisible by the number (80) 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 80573667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161669027520).

80573667840 is an abundant number, since it is smaller than the sum of its proper divisors (242764387200).

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

80573667840 is a wasteful number, since it uses less digits than its factorization.

80573667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 80573667840 in words is "eighty billion, five hundred seventy-three million, six hundred sixty-seven thousand, eight hundred forty".