80482719744 has 768 divisors, whose sum is σ = 293990860800. Its totient is φ = 21499084800.

The previous prime is 80482719739. The next prime is 80482719827. The reversal of 80482719744 is 44791728408.

80482719744 is a `hidden beast` number, since 8 + 0 + 482 + 71 + 97 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532998069 + ... + 532998219.

It is an arithmetic number, because the mean of its divisors is an integer number (382800600).

Almost surely, 2^80482719744 is an apocalyptic number.

80482719744 is a gapful number since it is divisible by the number (84) 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 80482719744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146995430400).

80482719744 is an abundant number, since it is smaller than the sum of its proper divisors (213508141056).

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

80482719744 is an equidigital number, since it uses as much as digits as its factorization.

80482719744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 80482719744 in words is "eighty billion, four hundred eighty-two million, seven hundred nineteen thousand, seven hundred forty-four".