80724954960 has 480 divisors, whose sum is σ = 309001056000. Its totient is φ = 18722119680.

The previous prime is 80724954911. The next prime is 80724954983. The reversal of 80724954960 is 6945942708.

80724954960 is a `hidden beast` number, since 80 + 72 + 4 + 9 + 5 + 496 + 0 = 666.

It is a super-3 number, since 3×80724954960³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 80724954897 and 80724954906.

It is a congruent number.

It is an unprimeable number.

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, 35389020 + ... + 35391300.

It is an arithmetic number, because the mean of its divisors is an integer number (643752200).

Almost surely, 2^80724954960 is an apocalyptic number.

80724954960 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 80724954960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154500528000).

80724954960 is an abundant number, since it is smaller than the sum of its proper divisors (228276101040).

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

80724954960 is a wasteful number, since it uses less digits than its factorization.

80724954960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 80724954960 in words is "eighty billion, seven hundred twenty-four million, nine hundred fifty-four thousand, nine hundred sixty".