80716746240 has 640 divisors, whose sum is σ = 312861225600. Its totient is φ = 19850821632.

The previous prime is 80716746223. The next prime is 80716746241. The reversal of 80716746240 is 4264761708.

80716746240 is a `hidden beast` number, since 8 + 0 + 7 + 16 + 7 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (80716746241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72782806 + ... + 72783914.

It is an arithmetic number, because the mean of its divisors is an integer number (488845665).

Almost surely, 2^80716746240 is an apocalyptic number.

80716746240 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 80716746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156430612800).

80716746240 is an abundant number, since it is smaller than the sum of its proper divisors (232144479360).

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

80716746240 is an equidigital number, since it uses as much as digits as its factorization.

80716746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 80716746240 in words is "eighty billion, seven hundred sixteen million, seven hundred forty-six thousand, two hundred forty".