80684559072 has 288 divisors, whose sum is σ = 255997437696. Its totient is φ = 23937638400.

The previous prime is 80684559047. The next prime is 80684559077. The reversal of 80684559072 is 27095548608.

80684559072 is a `hidden beast` number, since 8 + 0 + 6 + 8 + 45 + 590 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80684559077) 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, 36326922 + ... + 36329142.

It is an arithmetic number, because the mean of its divisors is an integer number (888879992).

Almost surely, 2^80684559072 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 80684559072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127998718848).

80684559072 is an abundant number, since it is smaller than the sum of its proper divisors (175312878624).

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

80684559072 is a wasteful number, since it uses less digits than its factorization.

80684559072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 80684559072 in words is "eighty billion, six hundred eighty-four million, five hundred fifty-nine thousand, seventy-two".